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Finding the Fourth Proportional to 587.72, 880.14 and 473.48

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Solution

The fourth proportional to 587.72, 880.14 and 473.48 is: 709.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.72 : 880.14 = 473.48 : x
  2. Step 2: Convert to fraction form
    587.72/880.14 = 473.48/x
  3. Step 3: Cross multiply
    587.72x = 880.14 × 473.48
  4. Step 4: Simplify right side
    587.72x = 416,728.69
  5. Step 5: Solve for x
    x = 416,728.69/587.72
  6. Step 6: Final answer
    x = 709.06

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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.