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Finding the Fourth Proportional to 497.83, 747.12 and 185.77

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Solution

The fourth proportional to 497.83, 747.12 and 185.77 is: 278.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.83 : 747.12 = 185.77 : x
  2. Step 2: Convert to fraction form
    497.83/747.12 = 185.77/x
  3. Step 3: Cross multiply
    497.83x = 747.12 × 185.77
  4. Step 4: Simplify right side
    497.83x = 138,787.82
  5. Step 5: Solve for x
    x = 138,787.82/497.83
  6. Step 6: Final answer
    x = 278.79

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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.