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Finding the Fourth Proportional to 915.26, 1,372.88 and 231.26

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Solution

The fourth proportional to 915.26, 1,372.88 and 231.26 is: 346.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.26 : 1,372.88 = 231.26 : x
  2. Step 2: Convert to fraction form
    915.26/1,372.88 = 231.26/x
  3. Step 3: Cross multiply
    915.26x = 1,372.88 × 231.26
  4. Step 4: Simplify right side
    915.26x = 317,492.23
  5. Step 5: Solve for x
    x = 317,492.23/915.26
  6. Step 6: Final answer
    x = 346.89

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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.