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Finding the Fourth Proportional to 576.95, 864.52 and 462.14

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Solution

The fourth proportional to 576.95, 864.52 and 462.14 is: 692.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.95 : 864.52 = 462.14 : x
  2. Step 2: Convert to fraction form
    576.95/864.52 = 462.14/x
  3. Step 3: Cross multiply
    576.95x = 864.52 × 462.14
  4. Step 4: Simplify right side
    576.95x = 399,522.64
  5. Step 5: Solve for x
    x = 399,522.64/576.95
  6. Step 6: Final answer
    x = 692.47

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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.