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Finding the Fourth Proportional to 587.64, 881.26 and 176.67

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Solution

The fourth proportional to 587.64, 881.26 and 176.67 is: 264.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.64 : 881.26 = 176.67 : x
  2. Step 2: Convert to fraction form
    587.64/881.26 = 176.67/x
  3. Step 3: Cross multiply
    587.64x = 881.26 × 176.67
  4. Step 4: Simplify right side
    587.64x = 155,692.20
  5. Step 5: Solve for x
    x = 155,692.20/587.64
  6. Step 6: Final answer
    x = 264.94

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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.