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Finding the Fourth Proportional to 457.92, 685.92 and 201.60

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Solution

The fourth proportional to 457.92, 685.92 and 201.60 is: 301.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.92 : 685.92 = 201.60 : x
  2. Step 2: Convert to fraction form
    457.92/685.92 = 201.60/x
  3. Step 3: Cross multiply
    457.92x = 685.92 × 201.60
  4. Step 4: Simplify right side
    457.92x = 138,281.47
  5. Step 5: Solve for x
    x = 138,281.47/457.92
  6. Step 6: Final answer
    x = 301.98

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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.