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Finding the Fourth Proportional to 553.92, 762.66 and 470.90

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Solution

The fourth proportional to 553.92, 762.66 and 470.90 is: 648.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.92 : 762.66 = 470.90 : x
  2. Step 2: Convert to fraction form
    553.92/762.66 = 470.90/x
  3. Step 3: Cross multiply
    553.92x = 762.66 × 470.90
  4. Step 4: Simplify right side
    553.92x = 359,136.59
  5. Step 5: Solve for x
    x = 359,136.59/553.92
  6. Step 6: Final answer
    x = 648.35

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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.