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Finding the Fourth Proportional to 497.61, 686.83 and 311.11

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Solution

The fourth proportional to 497.61, 686.83 and 311.11 is: 429.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.61 : 686.83 = 311.11 : x
  2. Step 2: Convert to fraction form
    497.61/686.83 = 311.11/x
  3. Step 3: Cross multiply
    497.61x = 686.83 × 311.11
  4. Step 4: Simplify right side
    497.61x = 213,677.19
  5. Step 5: Solve for x
    x = 213,677.19/497.61
  6. Step 6: Final answer
    x = 429.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.