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Finding the Fourth Proportional to 424.23, 585.43 and 237.74

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Solution

The fourth proportional to 424.23, 585.43 and 237.74 is: 328.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.23 : 585.43 = 237.74 : x
  2. Step 2: Convert to fraction form
    424.23/585.43 = 237.74/x
  3. Step 3: Cross multiply
    424.23x = 585.43 × 237.74
  4. Step 4: Simplify right side
    424.23x = 139,180.13
  5. Step 5: Solve for x
    x = 139,180.13/424.23
  6. Step 6: Final answer
    x = 328.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.