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Finding the Fourth Proportional to 431.57, 647.32 and 248.39

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Solution

The fourth proportional to 431.57, 647.32 and 248.39 is: 372.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.57 : 647.32 = 248.39 : x
  2. Step 2: Convert to fraction form
    431.57/647.32 = 248.39/x
  3. Step 3: Cross multiply
    431.57x = 647.32 × 248.39
  4. Step 4: Simplify right side
    431.57x = 160,787.81
  5. Step 5: Solve for x
    x = 160,787.81/431.57
  6. Step 6: Final answer
    x = 372.56

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Why These Related Problems?

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