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Finding the Fourth Proportional to 586.39, 879.58 and 312.41

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Solution

The fourth proportional to 586.39, 879.58 and 312.41 is: 468.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.39 : 879.58 = 312.41 : x
  2. Step 2: Convert to fraction form
    586.39/879.58 = 312.41/x
  3. Step 3: Cross multiply
    586.39x = 879.58 × 312.41
  4. Step 4: Simplify right side
    586.39x = 274,789.59
  5. Step 5: Solve for x
    x = 274,789.59/586.39
  6. Step 6: Final answer
    x = 468.61

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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.