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Finding the Fourth Proportional to 586.47, 878.93 and 311.97

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Solution

The fourth proportional to 586.47, 878.93 and 311.97 is: 467.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.47 : 878.93 = 311.97 : x
  2. Step 2: Convert to fraction form
    586.47/878.93 = 311.97/x
  3. Step 3: Cross multiply
    586.47x = 878.93 × 311.97
  4. Step 4: Simplify right side
    586.47x = 274,199.79
  5. Step 5: Solve for x
    x = 274,199.79/586.47
  6. Step 6: Final answer
    x = 467.54

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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.