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Finding the Fourth Proportional to 915.47, 1,373.07 and 299.24

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Solution

The fourth proportional to 915.47, 1,373.07 and 299.24 is: 448.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.47 : 1,373.07 = 299.24 : x
  2. Step 2: Convert to fraction form
    915.47/1,373.07 = 299.24/x
  3. Step 3: Cross multiply
    915.47x = 1,373.07 × 299.24
  4. Step 4: Simplify right side
    915.47x = 410,877.47
  5. Step 5: Solve for x
    x = 410,877.47/915.47
  6. Step 6: Final answer
    x = 448.82

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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.