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Finding the Fourth Proportional to 576.24, 863.40 and 462

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Solution

The fourth proportional to 576.24, 863.40 and 462 is: 692.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.24 : 863.40 = 462 : x
  2. Step 2: Convert to fraction form
    576.24/863.40 = 462/x
  3. Step 3: Cross multiply
    576.24x = 863.40 × 462
  4. Step 4: Simplify right side
    576.24x = 398,890.80
  5. Step 5: Solve for x
    x = 398,890.80/576.24
  6. Step 6: Final answer
    x = 692.23

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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.