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Finding the Fourth Proportional to 657.67, 905.18 and 470.86

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Solution

The fourth proportional to 657.67, 905.18 and 470.86 is: 648.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.67 : 905.18 = 470.86 : x
  2. Step 2: Convert to fraction form
    657.67/905.18 = 470.86/x
  3. Step 3: Cross multiply
    657.67x = 905.18 × 470.86
  4. Step 4: Simplify right side
    657.67x = 426,213.53
  5. Step 5: Solve for x
    x = 426,213.53/657.67
  6. Step 6: Final answer
    x = 648.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.