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Finding the Fourth Proportional to 462.30, 692.82 and 410.46

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Solution

The fourth proportional to 462.30, 692.82 and 410.46 is: 615.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.30 : 692.82 = 410.46 : x
  2. Step 2: Convert to fraction form
    462.30/692.82 = 410.46/x
  3. Step 3: Cross multiply
    462.30x = 692.82 × 410.46
  4. Step 4: Simplify right side
    462.30x = 284,374.90
  5. Step 5: Solve for x
    x = 284,374.90/462.30
  6. Step 6: Final answer
    x = 615.13

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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.