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Finding the Fourth Proportional to 487.38, 735.44 and 470.22

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Solution

The fourth proportional to 487.38, 735.44 and 470.22 is: 709.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.38 : 735.44 = 470.22 : x
  2. Step 2: Convert to fraction form
    487.38/735.44 = 470.22/x
  3. Step 3: Cross multiply
    487.38x = 735.44 × 470.22
  4. Step 4: Simplify right side
    487.38x = 345,818.60
  5. Step 5: Solve for x
    x = 345,818.60/487.38
  6. Step 6: Final answer
    x = 709.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.