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Finding the Fourth Proportional to 542.68, 813.48 and 298.60

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Solution

The fourth proportional to 542.68, 813.48 and 298.60 is: 447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.68 : 813.48 = 298.60 : x
  2. Step 2: Convert to fraction form
    542.68/813.48 = 298.60/x
  3. Step 3: Cross multiply
    542.68x = 813.48 × 298.60
  4. Step 4: Simplify right side
    542.68x = 242,905.13
  5. Step 5: Solve for x
    x = 242,905.13/542.68
  6. Step 6: Final answer
    x = 447.60

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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.