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Finding the Fourth Proportional to 529.74, 731.23 and 405.81

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Solution

The fourth proportional to 529.74, 731.23 and 405.81 is: 560.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.74 : 731.23 = 405.81 : x
  2. Step 2: Convert to fraction form
    529.74/731.23 = 405.81/x
  3. Step 3: Cross multiply
    529.74x = 731.23 × 405.81
  4. Step 4: Simplify right side
    529.74x = 296,739.43
  5. Step 5: Solve for x
    x = 296,739.43/529.74
  6. Step 6: Final answer
    x = 560.16

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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.