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Finding the Fourth Proportional to 586.22, 878.43 and 297.86

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Solution

The fourth proportional to 586.22, 878.43 and 297.86 is: 446.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.22 : 878.43 = 297.86 : x
  2. Step 2: Convert to fraction form
    586.22/878.43 = 297.86/x
  3. Step 3: Cross multiply
    586.22x = 878.43 × 297.86
  4. Step 4: Simplify right side
    586.22x = 261,649.16
  5. Step 5: Solve for x
    x = 261,649.16/586.22
  6. Step 6: Final answer
    x = 446.33

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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.