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Finding the Fourth Proportional to 880.40, 1,320.81 and 264.11

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Solution

The fourth proportional to 880.40, 1,320.81 and 264.11 is: 396.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.40 : 1,320.81 = 264.11 : x
  2. Step 2: Convert to fraction form
    880.40/1,320.81 = 264.11/x
  3. Step 3: Cross multiply
    880.40x = 1,320.81 × 264.11
  4. Step 4: Simplify right side
    880.40x = 348,841.69
  5. Step 5: Solve for x
    x = 348,841.69/880.40
  6. Step 6: Final answer
    x = 396.23

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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.