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Finding the Fourth Proportional to 496.18, 685.15 and 470.38

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Solution

The fourth proportional to 496.18, 685.15 and 470.38 is: 649.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.18 : 685.15 = 470.38 : x
  2. Step 2: Convert to fraction form
    496.18/685.15 = 470.38/x
  3. Step 3: Cross multiply
    496.18x = 685.15 × 470.38
  4. Step 4: Simplify right side
    496.18x = 322,276.18
  5. Step 5: Solve for x
    x = 322,276.18/496.18
  6. Step 6: Final answer
    x = 649.52

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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.