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Finding the Fourth Proportional to 424.40, 585.76 and 237.96

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Solution

The fourth proportional to 424.40, 585.76 and 237.96 is: 328.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.40 : 585.76 = 237.96 : x
  2. Step 2: Convert to fraction form
    424.40/585.76 = 237.96/x
  3. Step 3: Cross multiply
    424.40x = 585.76 × 237.96
  4. Step 4: Simplify right side
    424.40x = 139,387.45
  5. Step 5: Solve for x
    x = 139,387.45/424.40
  6. Step 6: Final answer
    x = 328.43

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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.