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Finding the Fourth Proportional to 718.15, 992.14 and 470.07

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Solution

The fourth proportional to 718.15, 992.14 and 470.07 is: 649.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.15 : 992.14 = 470.07 : x
  2. Step 2: Convert to fraction form
    718.15/992.14 = 470.07/x
  3. Step 3: Cross multiply
    718.15x = 992.14 × 470.07
  4. Step 4: Simplify right side
    718.15x = 466,375.25
  5. Step 5: Solve for x
    x = 466,375.25/718.15
  6. Step 6: Final answer
    x = 649.41

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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.