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Finding the Fourth Proportional to 915.08, 1,372.10 and 290.26

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Solution

The fourth proportional to 915.08, 1,372.10 and 290.26 is: 435.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.08 : 1,372.10 = 290.26 : x
  2. Step 2: Convert to fraction form
    915.08/1,372.10 = 290.26/x
  3. Step 3: Cross multiply
    915.08x = 1,372.10 × 290.26
  4. Step 4: Simplify right side
    915.08x = 398,262.35
  5. Step 5: Solve for x
    x = 398,262.35/915.08
  6. Step 6: Final answer
    x = 435.22

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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.