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Finding the Fourth Proportional to 530.14, 731.97 and 343.72

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Solution

The fourth proportional to 530.14, 731.97 and 343.72 is: 474.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.14 : 731.97 = 343.72 : x
  2. Step 2: Convert to fraction form
    530.14/731.97 = 343.72/x
  3. Step 3: Cross multiply
    530.14x = 731.97 × 343.72
  4. Step 4: Simplify right side
    530.14x = 251,592.73
  5. Step 5: Solve for x
    x = 251,592.73/530.14
  6. Step 6: Final answer
    x = 474.58

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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.