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Finding the Fourth Proportional to 529.74, 731.07 and 296.87

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Solution

The fourth proportional to 529.74, 731.07 and 296.87 is: 409.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.74 : 731.07 = 296.87 : x
  2. Step 2: Convert to fraction form
    529.74/731.07 = 296.87/x
  3. Step 3: Cross multiply
    529.74x = 731.07 × 296.87
  4. Step 4: Simplify right side
    529.74x = 217,029.10
  5. Step 5: Solve for x
    x = 217,029.10/529.74
  6. Step 6: Final answer
    x = 409.69

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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.