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Finding the Fourth Proportional to 915.05, 1,372.76 and 298.59

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Solution

The fourth proportional to 915.05, 1,372.76 and 298.59 is: 447.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.05 : 1,372.76 = 298.59 : x
  2. Step 2: Convert to fraction form
    915.05/1,372.76 = 298.59/x
  3. Step 3: Cross multiply
    915.05x = 1,372.76 × 298.59
  4. Step 4: Simplify right side
    915.05x = 409,895.99
  5. Step 5: Solve for x
    x = 409,895.99/915.05
  6. Step 6: Final answer
    x = 447.95

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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.