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Finding the Fourth Proportional to 529.96, 731.35 and 297.10

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Solution

The fourth proportional to 529.96, 731.35 and 297.10 is: 410.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.96 : 731.35 = 297.10 : x
  2. Step 2: Convert to fraction form
    529.96/731.35 = 297.10/x
  3. Step 3: Cross multiply
    529.96x = 731.35 × 297.10
  4. Step 4: Simplify right side
    529.96x = 217,284.09
  5. Step 5: Solve for x
    x = 217,284.09/529.96
  6. Step 6: Final answer
    x = 410.00

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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.