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Finding the Fourth Proportional to 424.30, 585.50 and 237.75

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Solution

The fourth proportional to 424.30, 585.50 and 237.75 is: 328.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.30 : 585.50 = 237.75 : x
  2. Step 2: Convert to fraction form
    424.30/585.50 = 237.75/x
  3. Step 3: Cross multiply
    424.30x = 585.50 × 237.75
  4. Step 4: Simplify right side
    424.30x = 139,202.63
  5. Step 5: Solve for x
    x = 139,202.63/424.30
  6. Step 6: Final answer
    x = 328.08

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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.