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Finding the Fourth Proportional to 457.59, 685.95 and 183.86

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Solution

The fourth proportional to 457.59, 685.95 and 183.86 is: 275.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.59 : 685.95 = 183.86 : x
  2. Step 2: Convert to fraction form
    457.59/685.95 = 183.86/x
  3. Step 3: Cross multiply
    457.59x = 685.95 × 183.86
  4. Step 4: Simplify right side
    457.59x = 126,120.48
  5. Step 5: Solve for x
    x = 126,120.48/457.59
  6. Step 6: Final answer
    x = 275.62

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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.