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Finding the Fourth Proportional to 457.59, 631.50 and 258.44

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Solution

The fourth proportional to 457.59, 631.50 and 258.44 is: 356.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.59 : 631.50 = 258.44 : x
  2. Step 2: Convert to fraction form
    457.59/631.50 = 258.44/x
  3. Step 3: Cross multiply
    457.59x = 631.50 × 258.44
  4. Step 4: Simplify right side
    457.59x = 163,201.70
  5. Step 5: Solve for x
    x = 163,201.70/457.59
  6. Step 6: Final answer
    x = 356.65

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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.