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Finding the Fourth Proportional to 586.34, 878.60 and 297.26

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Solution

The fourth proportional to 586.34, 878.60 and 297.26 is: 445.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.34 : 878.60 = 297.26 : x
  2. Step 2: Convert to fraction form
    586.34/878.60 = 297.26/x
  3. Step 3: Cross multiply
    586.34x = 878.60 × 297.26
  4. Step 4: Simplify right side
    586.34x = 261,172.64
  5. Step 5: Solve for x
    x = 261,172.64/586.34
  6. Step 6: Final answer
    x = 445.43

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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.