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Finding the Fourth Proportional to 424.60, 584.72 and 365.12

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Solution

The fourth proportional to 424.60, 584.72 and 365.12 is: 502.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.60 : 584.72 = 365.12 : x
  2. Step 2: Convert to fraction form
    424.60/584.72 = 365.12/x
  3. Step 3: Cross multiply
    424.60x = 584.72 × 365.12
  4. Step 4: Simplify right side
    424.60x = 213,492.97
  5. Step 5: Solve for x
    x = 213,492.97/424.60
  6. Step 6: Final answer
    x = 502.81

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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.