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Finding the Fourth Proportional to 461.52, 692.40 and 230.53

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Solution

The fourth proportional to 461.52, 692.40 and 230.53 is: 345.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.52 : 692.40 = 230.53 : x
  2. Step 2: Convert to fraction form
    461.52/692.40 = 230.53/x
  3. Step 3: Cross multiply
    461.52x = 692.40 × 230.53
  4. Step 4: Simplify right side
    461.52x = 159,618.97
  5. Step 5: Solve for x
    x = 159,618.97/461.52
  6. Step 6: Final answer
    x = 345.85

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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.