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Finding the Fourth Proportional to 735.21, 1,014.38 and 473.38

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Solution

The fourth proportional to 735.21, 1,014.38 and 473.38 is: 653.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.21 : 1,014.38 = 473.38 : x
  2. Step 2: Convert to fraction form
    735.21/1,014.38 = 473.38/x
  3. Step 3: Cross multiply
    735.21x = 1,014.38 × 473.38
  4. Step 4: Simplify right side
    735.21x = 480,184.08
  5. Step 5: Solve for x
    x = 480,184.08/735.21
  6. Step 6: Final answer
    x = 653.13

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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.