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Finding the Fourth Proportional to 431.46, 644.13 and 374.13

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Solution

The fourth proportional to 431.46, 644.13 and 374.13 is: 558.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.46 : 644.13 = 374.13 : x
  2. Step 2: Convert to fraction form
    431.46/644.13 = 374.13/x
  3. Step 3: Cross multiply
    431.46x = 644.13 × 374.13
  4. Step 4: Simplify right side
    431.46x = 240,988.36
  5. Step 5: Solve for x
    x = 240,988.36/431.46
  6. Step 6: Final answer
    x = 558.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.