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Finding the Fourth Proportional to 705.20, 973.02 and 443.12

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Solution

The fourth proportional to 705.20, 973.02 and 443.12 is: 611.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.20 : 973.02 = 443.12 : x
  2. Step 2: Convert to fraction form
    705.20/973.02 = 443.12/x
  3. Step 3: Cross multiply
    705.20x = 973.02 × 443.12
  4. Step 4: Simplify right side
    705.20x = 431,164.62
  5. Step 5: Solve for x
    x = 431,164.62/705.20
  6. Step 6: Final answer
    x = 611.41

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Double scale
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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.