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Finding the Fourth Proportional to 915.12, 1,372.23 and 298.67

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Solution

The fourth proportional to 915.12, 1,372.23 and 298.67 is: 447.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.12 : 1,372.23 = 298.67 : x
  2. Step 2: Convert to fraction form
    915.12/1,372.23 = 298.67/x
  3. Step 3: Cross multiply
    915.12x = 1,372.23 × 298.67
  4. Step 4: Simplify right side
    915.12x = 409,837.07
  5. Step 5: Solve for x
    x = 409,837.07/915.12
  6. Step 6: Final answer
    x = 447.85

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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.