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Finding the Fourth Proportional to 915.97, 1,373.82 and 299.74

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Solution

The fourth proportional to 915.97, 1,373.82 and 299.74 is: 449.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.97 : 1,373.82 = 299.74 : x
  2. Step 2: Convert to fraction form
    915.97/1,373.82 = 299.74/x
  3. Step 3: Cross multiply
    915.97x = 1,373.82 × 299.74
  4. Step 4: Simplify right side
    915.97x = 411,788.81
  5. Step 5: Solve for x
    x = 411,788.81/915.97
  6. Step 6: Final answer
    x = 449.57

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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.