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Finding the Fourth Proportional to 587.36, 881.14 and 262.72

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Solution

The fourth proportional to 587.36, 881.14 and 262.72 is: 394.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.36 : 881.14 = 262.72 : x
  2. Step 2: Convert to fraction form
    587.36/881.14 = 262.72/x
  3. Step 3: Cross multiply
    587.36x = 881.14 × 262.72
  4. Step 4: Simplify right side
    587.36x = 231,488.70
  5. Step 5: Solve for x
    x = 231,488.70/587.36
  6. Step 6: Final answer
    x = 394.12

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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.