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Finding the Fourth Proportional to 456.47, 685.04 and 178.86

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Solution

The fourth proportional to 456.47, 685.04 and 178.86 is: 268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.47 : 685.04 = 178.86 : x
  2. Step 2: Convert to fraction form
    456.47/685.04 = 178.86/x
  3. Step 3: Cross multiply
    456.47x = 685.04 × 178.86
  4. Step 4: Simplify right side
    456.47x = 122,526.25
  5. Step 5: Solve for x
    x = 122,526.25/456.47
  6. Step 6: Final answer
    x = 268.42

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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.