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Finding the Fourth Proportional to 456.47, 684.71 and 114.47

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Solution

The fourth proportional to 456.47, 684.71 and 114.47 is: 171.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.47 : 684.71 = 114.47 : x
  2. Step 2: Convert to fraction form
    456.47/684.71 = 114.47/x
  3. Step 3: Cross multiply
    456.47x = 684.71 × 114.47
  4. Step 4: Simplify right side
    456.47x = 78,378.75
  5. Step 5: Solve for x
    x = 78,378.75/456.47
  6. Step 6: Final answer
    x = 171.71

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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.