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Finding the Fourth Proportional to 502.54, 692.40 and 354.88

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Solution

The fourth proportional to 502.54, 692.40 and 354.88 is: 488.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.54 : 692.40 = 354.88 : x
  2. Step 2: Convert to fraction form
    502.54/692.40 = 354.88/x
  3. Step 3: Cross multiply
    502.54x = 692.40 × 354.88
  4. Step 4: Simplify right side
    502.54x = 245,718.91
  5. Step 5: Solve for x
    x = 245,718.91/502.54
  6. Step 6: Final answer
    x = 488.95

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