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Finding the Fourth Proportional to 880.35, 1,320.14 and 264.04

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Solution

The fourth proportional to 880.35, 1,320.14 and 264.04 is: 395.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.35 : 1,320.14 = 264.04 : x
  2. Step 2: Convert to fraction form
    880.35/1,320.14 = 264.04/x
  3. Step 3: Cross multiply
    880.35x = 1,320.14 × 264.04
  4. Step 4: Simplify right side
    880.35x = 348,569.77
  5. Step 5: Solve for x
    x = 348,569.77/880.35
  6. Step 6: Final answer
    x = 395.94

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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.