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Finding the Fourth Proportional to 880.46, 1,320.40 and 264

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Solution

The fourth proportional to 880.46, 1,320.40 and 264 is: 395.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.46 : 1,320.40 = 264 : x
  2. Step 2: Convert to fraction form
    880.46/1,320.40 = 264/x
  3. Step 3: Cross multiply
    880.46x = 1,320.40 × 264
  4. Step 4: Simplify right side
    880.46x = 348,585.60
  5. Step 5: Solve for x
    x = 348,585.60/880.46
  6. Step 6: Final answer
    x = 395.91

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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.