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Finding the Fourth Proportional to 587.82, 881.76 and 263.18

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Solution

The fourth proportional to 587.82, 881.76 and 263.18 is: 394.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.82 : 881.76 = 263.18 : x
  2. Step 2: Convert to fraction form
    587.82/881.76 = 263.18/x
  3. Step 3: Cross multiply
    587.82x = 881.76 × 263.18
  4. Step 4: Simplify right side
    587.82x = 232,061.60
  5. Step 5: Solve for x
    x = 232,061.60/587.82
  6. Step 6: Final answer
    x = 394.78

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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.