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Finding the Fourth Proportional to 492.80, 739.59 and 287.66

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Solution

The fourth proportional to 492.80, 739.59 and 287.66 is: 431.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.80 : 739.59 = 287.66 : x
  2. Step 2: Convert to fraction form
    492.80/739.59 = 287.66/x
  3. Step 3: Cross multiply
    492.80x = 739.59 × 287.66
  4. Step 4: Simplify right side
    492.80x = 212,750.46
  5. Step 5: Solve for x
    x = 212,750.46/492.80
  6. Step 6: Final answer
    x = 431.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.