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Finding the Fourth Proportional to 424.41, 585.70 and 237.89

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Solution

The fourth proportional to 424.41, 585.70 and 237.89 is: 328.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.41 : 585.70 = 237.89 : x
  2. Step 2: Convert to fraction form
    424.41/585.70 = 237.89/x
  3. Step 3: Cross multiply
    424.41x = 585.70 × 237.89
  4. Step 4: Simplify right side
    424.41x = 139,332.17
  5. Step 5: Solve for x
    x = 139,332.17/424.41
  6. Step 6: Final answer
    x = 328.30

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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.