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Finding the Fourth Proportional to 576.35, 864.53 and 461.53

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Solution

The fourth proportional to 576.35, 864.53 and 461.53 is: 692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.35 : 864.53 = 461.53 : x
  2. Step 2: Convert to fraction form
    576.35/864.53 = 461.53/x
  3. Step 3: Cross multiply
    576.35x = 864.53 × 461.53
  4. Step 4: Simplify right side
    576.35x = 399,002.21
  5. Step 5: Solve for x
    x = 399,002.21/576.35
  6. Step 6: Final answer
    x = 692.29

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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.