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Finding the Fourth Proportional to 915.98, 1,374.16 and 299.70

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Solution

The fourth proportional to 915.98, 1,374.16 and 299.70 is: 449.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.98 : 1,374.16 = 299.70 : x
  2. Step 2: Convert to fraction form
    915.98/1,374.16 = 299.70/x
  3. Step 3: Cross multiply
    915.98x = 1,374.16 × 299.70
  4. Step 4: Simplify right side
    915.98x = 411,835.75
  5. Step 5: Solve for x
    x = 411,835.75/915.98
  6. Step 6: Final answer
    x = 449.61

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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.