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Finding the Fourth Proportional to 587.90, 881.96 and 263.27

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Solution

The fourth proportional to 587.90, 881.96 and 263.27 is: 394.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.90 : 881.96 = 263.27 : x
  2. Step 2: Convert to fraction form
    587.90/881.96 = 263.27/x
  3. Step 3: Cross multiply
    587.90x = 881.96 × 263.27
  4. Step 4: Simplify right side
    587.90x = 232,192.06
  5. Step 5: Solve for x
    x = 232,192.06/587.90
  6. Step 6: Final answer
    x = 394.95

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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.