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Finding the Fourth Proportional to 542.11, 813.18 and 420.01

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Solution

The fourth proportional to 542.11, 813.18 and 420.01 is: 630.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.11 : 813.18 = 420.01 : x
  2. Step 2: Convert to fraction form
    542.11/813.18 = 420.01/x
  3. Step 3: Cross multiply
    542.11x = 813.18 × 420.01
  4. Step 4: Simplify right side
    542.11x = 341,543.73
  5. Step 5: Solve for x
    x = 341,543.73/542.11
  6. Step 6: Final answer
    x = 630.03

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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.