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Finding the Fourth Proportional to 576.04, 862.98 and 447.16

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Solution

The fourth proportional to 576.04, 862.98 and 447.16 is: 669.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.04 : 862.98 = 447.16 : x
  2. Step 2: Convert to fraction form
    576.04/862.98 = 447.16/x
  3. Step 3: Cross multiply
    576.04x = 862.98 × 447.16
  4. Step 4: Simplify right side
    576.04x = 385,890.14
  5. Step 5: Solve for x
    x = 385,890.14/576.04
  6. Step 6: Final answer
    x = 669.90

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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.