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Finding the Fourth Proportional to 880.30, 1,215.38 and 549.22

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Solution

The fourth proportional to 880.30, 1,215.38 and 549.22 is: 758.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.30 : 1,215.38 = 549.22 : x
  2. Step 2: Convert to fraction form
    880.30/1,215.38 = 549.22/x
  3. Step 3: Cross multiply
    880.30x = 1,215.38 × 549.22
  4. Step 4: Simplify right side
    880.30x = 667,511.00
  5. Step 5: Solve for x
    x = 667,511.00/880.30
  6. Step 6: Final answer
    x = 758.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.