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Finding the Fourth Proportional to 535.40, 799.18 and 498.92

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Solution

The fourth proportional to 535.40, 799.18 and 498.92 is: 744.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.40 : 799.18 = 498.92 : x
  2. Step 2: Convert to fraction form
    535.40/799.18 = 498.92/x
  3. Step 3: Cross multiply
    535.40x = 799.18 × 498.92
  4. Step 4: Simplify right side
    535.40x = 398,726.89
  5. Step 5: Solve for x
    x = 398,726.89/535.40
  6. Step 6: Final answer
    x = 744.73

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