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Finding the Fourth Proportional to 424.16, 585.36 and 237.64

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Solution

The fourth proportional to 424.16, 585.36 and 237.64 is: 327.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.16 : 585.36 = 237.64 : x
  2. Step 2: Convert to fraction form
    424.16/585.36 = 237.64/x
  3. Step 3: Cross multiply
    424.16x = 585.36 × 237.64
  4. Step 4: Simplify right side
    424.16x = 139,105.23
  5. Step 5: Solve for x
    x = 139,105.23/424.16
  6. Step 6: Final answer
    x = 327.96

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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.