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Finding the Fourth Proportional to 587.74, 881.75 and 263.20

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Solution

The fourth proportional to 587.74, 881.75 and 263.20 is: 394.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.74 : 881.75 = 263.20 : x
  2. Step 2: Convert to fraction form
    587.74/881.75 = 263.20/x
  3. Step 3: Cross multiply
    587.74x = 881.75 × 263.20
  4. Step 4: Simplify right side
    587.74x = 232,076.60
  5. Step 5: Solve for x
    x = 232,076.60/587.74
  6. Step 6: Final answer
    x = 394.86

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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.