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Finding the Fourth Proportional to 610.83, 915.46 and 298.55

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Solution

The fourth proportional to 610.83, 915.46 and 298.55 is: 447.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.83 : 915.46 = 298.55 : x
  2. Step 2: Convert to fraction form
    610.83/915.46 = 298.55/x
  3. Step 3: Cross multiply
    610.83x = 915.46 × 298.55
  4. Step 4: Simplify right side
    610.83x = 273,310.58
  5. Step 5: Solve for x
    x = 273,310.58/610.83
  6. Step 6: Final answer
    x = 447.44

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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.