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Finding the Fourth Proportional to 576.16, 862.80 and 562.40

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Solution

The fourth proportional to 576.16, 862.80 and 562.40 is: 842.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.16 : 862.80 = 562.40 : x
  2. Step 2: Convert to fraction form
    576.16/862.80 = 562.40/x
  3. Step 3: Cross multiply
    576.16x = 862.80 × 562.40
  4. Step 4: Simplify right side
    576.16x = 485,238.72
  5. Step 5: Solve for x
    x = 485,238.72/576.16
  6. Step 6: Final answer
    x = 842.19

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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.