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Finding the Fourth Proportional to 457.74, 631.70 and 271.34

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Solution

The fourth proportional to 457.74, 631.70 and 271.34 is: 374.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.74 : 631.70 = 271.34 : x
  2. Step 2: Convert to fraction form
    457.74/631.70 = 271.34/x
  3. Step 3: Cross multiply
    457.74x = 631.70 × 271.34
  4. Step 4: Simplify right side
    457.74x = 171,404.35
  5. Step 5: Solve for x
    x = 171,404.35/457.74
  6. Step 6: Final answer
    x = 374.46

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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.