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Finding the Fourth Proportional to 636.16, 877.85 and 470.48

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Solution

The fourth proportional to 636.16, 877.85 and 470.48 is: 649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.16 : 877.85 = 470.48 : x
  2. Step 2: Convert to fraction form
    636.16/877.85 = 470.48/x
  3. Step 3: Cross multiply
    636.16x = 877.85 × 470.48
  4. Step 4: Simplify right side
    636.16x = 413,010.87
  5. Step 5: Solve for x
    x = 413,010.87/636.16
  6. Step 6: Final answer
    x = 649.22

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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.