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Finding the Fourth Proportional to 424.14, 584.84 and 365.31

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Solution

The fourth proportional to 424.14, 584.84 and 365.31 is: 503.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.14 : 584.84 = 365.31 : x
  2. Step 2: Convert to fraction form
    424.14/584.84 = 365.31/x
  3. Step 3: Cross multiply
    424.14x = 584.84 × 365.31
  4. Step 4: Simplify right side
    424.14x = 213,646.76
  5. Step 5: Solve for x
    x = 213,646.76/424.14
  6. Step 6: Final answer
    x = 503.72

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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.