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Finding the Fourth Proportional to 722.24, 995.71 and 473.16

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Solution

The fourth proportional to 722.24, 995.71 and 473.16 is: 652.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.24 : 995.71 = 473.16 : x
  2. Step 2: Convert to fraction form
    722.24/995.71 = 473.16/x
  3. Step 3: Cross multiply
    722.24x = 995.71 × 473.16
  4. Step 4: Simplify right side
    722.24x = 471,127.78
  5. Step 5: Solve for x
    x = 471,127.78/722.24
  6. Step 6: Final answer
    x = 652.32

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.