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Finding the Fourth Proportional to 502.12, 692.67 and 466.95

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Solution

The fourth proportional to 502.12, 692.67 and 466.95 is: 644.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.12 : 692.67 = 466.95 : x
  2. Step 2: Convert to fraction form
    502.12/692.67 = 466.95/x
  3. Step 3: Cross multiply
    502.12x = 692.67 × 466.95
  4. Step 4: Simplify right side
    502.12x = 323,442.26
  5. Step 5: Solve for x
    x = 323,442.26/502.12
  6. Step 6: Final answer
    x = 644.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.