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Finding the Fourth Proportional to 587.19, 880.02 and 312.87

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Solution

The fourth proportional to 587.19, 880.02 and 312.87 is: 468.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.19 : 880.02 = 312.87 : x
  2. Step 2: Convert to fraction form
    587.19/880.02 = 312.87/x
  3. Step 3: Cross multiply
    587.19x = 880.02 × 312.87
  4. Step 4: Simplify right side
    587.19x = 275,331.86
  5. Step 5: Solve for x
    x = 275,331.86/587.19
  6. Step 6: Final answer
    x = 468.90

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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.