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Finding the Fourth Proportional to 647.15, 892.53 and 470.12

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Solution

The fourth proportional to 647.15, 892.53 and 470.12 is: 648.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.15 : 892.53 = 470.12 : x
  2. Step 2: Convert to fraction form
    647.15/892.53 = 470.12/x
  3. Step 3: Cross multiply
    647.15x = 892.53 × 470.12
  4. Step 4: Simplify right side
    647.15x = 419,591.74
  5. Step 5: Solve for x
    x = 419,591.74/647.15
  6. Step 6: Final answer
    x = 648.37

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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.