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Finding the Fourth Proportional to 880.40, 1,320.59 and 360.41

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Solution

The fourth proportional to 880.40, 1,320.59 and 360.41 is: 540.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.40 : 1,320.59 = 360.41 : x
  2. Step 2: Convert to fraction form
    880.40/1,320.59 = 360.41/x
  3. Step 3: Cross multiply
    880.40x = 1,320.59 × 360.41
  4. Step 4: Simplify right side
    880.40x = 475,948.14
  5. Step 5: Solve for x
    x = 475,948.14/880.40
  6. Step 6: Final answer
    x = 540.61

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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.