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Finding the Fourth Proportional to 470.48, 706.52 and 451.86

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Solution

The fourth proportional to 470.48, 706.52 and 451.86 is: 678.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.48 : 706.52 = 451.86 : x
  2. Step 2: Convert to fraction form
    470.48/706.52 = 451.86/x
  3. Step 3: Cross multiply
    470.48x = 706.52 × 451.86
  4. Step 4: Simplify right side
    470.48x = 319,248.13
  5. Step 5: Solve for x
    x = 319,248.13/470.48
  6. Step 6: Final answer
    x = 678.56

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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.