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Finding the Fourth Proportional to 586.25, 879.34 and 220.99

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Solution

The fourth proportional to 586.25, 879.34 and 220.99 is: 331.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.25 : 879.34 = 220.99 : x
  2. Step 2: Convert to fraction form
    586.25/879.34 = 220.99/x
  3. Step 3: Cross multiply
    586.25x = 879.34 × 220.99
  4. Step 4: Simplify right side
    586.25x = 194,325.35
  5. Step 5: Solve for x
    x = 194,325.35/586.25
  6. Step 6: Final answer
    x = 331.47

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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.