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Finding the Fourth Proportional to 587.03, 880.20 and 176.09

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Solution

The fourth proportional to 587.03, 880.20 and 176.09 is: 264.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.03 : 880.20 = 176.09 : x
  2. Step 2: Convert to fraction form
    587.03/880.20 = 176.09/x
  3. Step 3: Cross multiply
    587.03x = 880.20 × 176.09
  4. Step 4: Simplify right side
    587.03x = 154,990.02
  5. Step 5: Solve for x
    x = 154,990.02/587.03
  6. Step 6: Final answer
    x = 264.03

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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.