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Finding the Fourth Proportional to 586.16, 878.34 and 297.44

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Solution

The fourth proportional to 586.16, 878.34 and 297.44 is: 445.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.16 : 878.34 = 297.44 : x
  2. Step 2: Convert to fraction form
    586.16/878.34 = 297.44/x
  3. Step 3: Cross multiply
    586.16x = 878.34 × 297.44
  4. Step 4: Simplify right side
    586.16x = 261,253.45
  5. Step 5: Solve for x
    x = 261,253.45/586.16
  6. Step 6: Final answer
    x = 445.70

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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.