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Finding the Fourth Proportional to 979.72, 1,470.24 and 363.94

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Solution

The fourth proportional to 979.72, 1,470.24 and 363.94 is: 546.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.72 : 1,470.24 = 363.94 : x
  2. Step 2: Convert to fraction form
    979.72/1,470.24 = 363.94/x
  3. Step 3: Cross multiply
    979.72x = 1,470.24 × 363.94
  4. Step 4: Simplify right side
    979.72x = 535,079.15
  5. Step 5: Solve for x
    x = 535,079.15/979.72
  6. Step 6: Final answer
    x = 546.16

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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.