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Finding the Fourth Proportional to 463.18, 692.10 and 411.74

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Solution

The fourth proportional to 463.18, 692.10 and 411.74 is: 615.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.18 : 692.10 = 411.74 : x
  2. Step 2: Convert to fraction form
    463.18/692.10 = 411.74/x
  3. Step 3: Cross multiply
    463.18x = 692.10 × 411.74
  4. Step 4: Simplify right side
    463.18x = 284,965.25
  5. Step 5: Solve for x
    x = 284,965.25/463.18
  6. Step 6: Final answer
    x = 615.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.