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Finding the Fourth Proportional to 559.23, 771.36 and 337.80

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Solution

The fourth proportional to 559.23, 771.36 and 337.80 is: 465.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.23 : 771.36 = 337.80 : x
  2. Step 2: Convert to fraction form
    559.23/771.36 = 337.80/x
  3. Step 3: Cross multiply
    559.23x = 771.36 × 337.80
  4. Step 4: Simplify right side
    559.23x = 260,565.41
  5. Step 5: Solve for x
    x = 260,565.41/559.23
  6. Step 6: Final answer
    x = 465.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.