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Finding the Fourth Proportional to 530.18, 731.62 and 294.12

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Solution

The fourth proportional to 530.18, 731.62 and 294.12 is: 405.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.18 : 731.62 = 294.12 : x
  2. Step 2: Convert to fraction form
    530.18/731.62 = 294.12/x
  3. Step 3: Cross multiply
    530.18x = 731.62 × 294.12
  4. Step 4: Simplify right side
    530.18x = 215,178.95
  5. Step 5: Solve for x
    x = 215,178.95/530.18
  6. Step 6: Final answer
    x = 405.86

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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.