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Finding the Fourth Proportional to 497.12, 740 and 489.84

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Solution

The fourth proportional to 497.12, 740 and 489.84 is: 729.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.12 : 740 = 489.84 : x
  2. Step 2: Convert to fraction form
    497.12/740 = 489.84/x
  3. Step 3: Cross multiply
    497.12x = 740 × 489.84
  4. Step 4: Simplify right side
    497.12x = 362,481.60
  5. Step 5: Solve for x
    x = 362,481.60/497.12
  6. Step 6: Final answer
    x = 729.16

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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.