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Finding the Fourth Proportional to 530.34, 731.70 and 306.24

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Solution

The fourth proportional to 530.34, 731.70 and 306.24 is: 422.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.34 : 731.70 = 306.24 : x
  2. Step 2: Convert to fraction form
    530.34/731.70 = 306.24/x
  3. Step 3: Cross multiply
    530.34x = 731.70 × 306.24
  4. Step 4: Simplify right side
    530.34x = 224,078.55
  5. Step 5: Solve for x
    x = 224,078.55/530.34
  6. Step 6: Final answer
    x = 422.52

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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.