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Finding the Fourth Proportional to 530.10, 731.46 and 297.21

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Solution

The fourth proportional to 530.10, 731.46 and 297.21 is: 410.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.10 : 731.46 = 297.21 : x
  2. Step 2: Convert to fraction form
    530.10/731.46 = 297.21/x
  3. Step 3: Cross multiply
    530.10x = 731.46 × 297.21
  4. Step 4: Simplify right side
    530.10x = 217,397.23
  5. Step 5: Solve for x
    x = 217,397.23/530.10
  6. Step 6: Final answer
    x = 410.11

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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.