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Finding the Fourth Proportional to 498.88, 746.88 and 462.88

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Solution

The fourth proportional to 498.88, 746.88 and 462.88 is: 692.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.88 : 746.88 = 462.88 : x
  2. Step 2: Convert to fraction form
    498.88/746.88 = 462.88/x
  3. Step 3: Cross multiply
    498.88x = 746.88 × 462.88
  4. Step 4: Simplify right side
    498.88x = 345,715.81
  5. Step 5: Solve for x
    x = 345,715.81/498.88
  6. Step 6: Final answer
    x = 692.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.