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Finding the Fourth Proportional to 915.41, 1,373.06 and 299.11

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Solution

The fourth proportional to 915.41, 1,373.06 and 299.11 is: 448.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.41 : 1,373.06 = 299.11 : x
  2. Step 2: Convert to fraction form
    915.41/1,373.06 = 299.11/x
  3. Step 3: Cross multiply
    915.41x = 1,373.06 × 299.11
  4. Step 4: Simplify right side
    915.41x = 410,695.98
  5. Step 5: Solve for x
    x = 410,695.98/915.41
  6. Step 6: Final answer
    x = 448.65

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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.