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Finding the Fourth Proportional to 587.46, 881.15 and 176.59

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Solution

The fourth proportional to 587.46, 881.15 and 176.59 is: 264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.46 : 881.15 = 176.59 : x
  2. Step 2: Convert to fraction form
    587.46/881.15 = 176.59/x
  3. Step 3: Cross multiply
    587.46x = 881.15 × 176.59
  4. Step 4: Simplify right side
    587.46x = 155,599.19
  5. Step 5: Solve for x
    x = 155,599.19/587.46
  6. Step 6: Final answer
    x = 264.87

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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.