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Finding the Fourth Proportional to 486.54, 729.90 and 473.18

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Solution

The fourth proportional to 486.54, 729.90 and 473.18 is: 709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.54 : 729.90 = 473.18 : x
  2. Step 2: Convert to fraction form
    486.54/729.90 = 473.18/x
  3. Step 3: Cross multiply
    486.54x = 729.90 × 473.18
  4. Step 4: Simplify right side
    486.54x = 345,370.43
  5. Step 5: Solve for x
    x = 345,370.43/486.54
  6. Step 6: Final answer
    x = 709.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.