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Finding the Fourth Proportional to 529.24, 728.67 and 446.15

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Solution

The fourth proportional to 529.24, 728.67 and 446.15 is: 614.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.24 : 728.67 = 446.15 : x
  2. Step 2: Convert to fraction form
    529.24/728.67 = 446.15/x
  3. Step 3: Cross multiply
    529.24x = 728.67 × 446.15
  4. Step 4: Simplify right side
    529.24x = 325,096.12
  5. Step 5: Solve for x
    x = 325,096.12/529.24
  6. Step 6: Final answer
    x = 614.27

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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.