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Finding the Fourth Proportional to 529.96, 731.32 and 297.08

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Solution

The fourth proportional to 529.96, 731.32 and 297.08 is: 409.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.96 : 731.32 = 297.08 : x
  2. Step 2: Convert to fraction form
    529.96/731.32 = 297.08/x
  3. Step 3: Cross multiply
    529.96x = 731.32 × 297.08
  4. Step 4: Simplify right side
    529.96x = 217,260.55
  5. Step 5: Solve for x
    x = 217,260.55/529.96
  6. Step 6: Final answer
    x = 409.96

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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.