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Finding the Fourth Proportional to 457.78, 631.68 and 271.26

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Solution

The fourth proportional to 457.78, 631.68 and 271.26 is: 374.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.78 : 631.68 = 271.26 : x
  2. Step 2: Convert to fraction form
    457.78/631.68 = 271.26/x
  3. Step 3: Cross multiply
    457.78x = 631.68 × 271.26
  4. Step 4: Simplify right side
    457.78x = 171,349.52
  5. Step 5: Solve for x
    x = 171,349.52/457.78
  6. Step 6: Final answer
    x = 374.31

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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.