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Finding the Fourth Proportional to 587.55, 881.37 and 176.67

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Solution

The fourth proportional to 587.55, 881.37 and 176.67 is: 265.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.55 : 881.37 = 176.67 : x
  2. Step 2: Convert to fraction form
    587.55/881.37 = 176.67/x
  3. Step 3: Cross multiply
    587.55x = 881.37 × 176.67
  4. Step 4: Simplify right side
    587.55x = 155,711.64
  5. Step 5: Solve for x
    x = 155,711.64/587.55
  6. Step 6: Final answer
    x = 265.02

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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.