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Finding the Fourth Proportional to 530.50, 731.92 and 309.42

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Solution

The fourth proportional to 530.50, 731.92 and 309.42 is: 426.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.50 : 731.92 = 309.42 : x
  2. Step 2: Convert to fraction form
    530.50/731.92 = 309.42/x
  3. Step 3: Cross multiply
    530.50x = 731.92 × 309.42
  4. Step 4: Simplify right side
    530.50x = 226,465.48
  5. Step 5: Solve for x
    x = 226,465.48/530.50
  6. Step 6: Final answer
    x = 426.89

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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.