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Finding the Fourth Proportional to 880.25, 1,319.94 and 263.77

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Solution

The fourth proportional to 880.25, 1,319.94 and 263.77 is: 395.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.25 : 1,319.94 = 263.77 : x
  2. Step 2: Convert to fraction form
    880.25/1,319.94 = 263.77/x
  3. Step 3: Cross multiply
    880.25x = 1,319.94 × 263.77
  4. Step 4: Simplify right side
    880.25x = 348,157.27
  5. Step 5: Solve for x
    x = 348,157.27/880.25
  6. Step 6: Final answer
    x = 395.52

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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.