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Finding the Fourth Proportional to 586.22, 879.81 and 297.74

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Solution

The fourth proportional to 586.22, 879.81 and 297.74 is: 446.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.22 : 879.81 = 297.74 : x
  2. Step 2: Convert to fraction form
    586.22/879.81 = 297.74/x
  3. Step 3: Cross multiply
    586.22x = 879.81 × 297.74
  4. Step 4: Simplify right side
    586.22x = 261,954.63
  5. Step 5: Solve for x
    x = 261,954.63/586.22
  6. Step 6: Final answer
    x = 446.85

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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.