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Finding the Fourth Proportional to 530.28, 731.76 and 297.42

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Solution

The fourth proportional to 530.28, 731.76 and 297.42 is: 410.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.28 : 731.76 = 297.42 : x
  2. Step 2: Convert to fraction form
    530.28/731.76 = 297.42/x
  3. Step 3: Cross multiply
    530.28x = 731.76 × 297.42
  4. Step 4: Simplify right side
    530.28x = 217,640.06
  5. Step 5: Solve for x
    x = 217,640.06/530.28
  6. Step 6: Final answer
    x = 410.42

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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.