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Finding the Fourth Proportional to 880.06, 1,320.28 and 263.77

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Solution

The fourth proportional to 880.06, 1,320.28 and 263.77 is: 395.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.06 : 1,320.28 = 263.77 : x
  2. Step 2: Convert to fraction form
    880.06/1,320.28 = 263.77/x
  3. Step 3: Cross multiply
    880.06x = 1,320.28 × 263.77
  4. Step 4: Simplify right side
    880.06x = 348,242.34
  5. Step 5: Solve for x
    x = 348,242.34/880.06
  6. Step 6: Final answer
    x = 395.70

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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.