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Finding the Fourth Proportional to 424.29, 585.47 and 237.76

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Solution

The fourth proportional to 424.29, 585.47 and 237.76 is: 328.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.29 : 585.47 = 237.76 : x
  2. Step 2: Convert to fraction form
    424.29/585.47 = 237.76/x
  3. Step 3: Cross multiply
    424.29x = 585.47 × 237.76
  4. Step 4: Simplify right side
    424.29x = 139,198.69
  5. Step 5: Solve for x
    x = 139,198.69/424.29
  6. Step 6: Final answer
    x = 328.07

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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.