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Finding the Fourth Proportional to 424.16, 634.92 and 342.32

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Solution

The fourth proportional to 424.16, 634.92 and 342.32 is: 512.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.16 : 634.92 = 342.32 : x
  2. Step 2: Convert to fraction form
    424.16/634.92 = 342.32/x
  3. Step 3: Cross multiply
    424.16x = 634.92 × 342.32
  4. Step 4: Simplify right side
    424.16x = 217,345.81
  5. Step 5: Solve for x
    x = 217,345.81/424.16
  6. Step 6: Final answer
    x = 512.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.