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Finding the Fourth Proportional to 559.54, 839.32 and 194.46

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Solution

The fourth proportional to 559.54, 839.32 and 194.46 is: 291.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.54 : 839.32 = 194.46 : x
  2. Step 2: Convert to fraction form
    559.54/839.32 = 194.46/x
  3. Step 3: Cross multiply
    559.54x = 839.32 × 194.46
  4. Step 4: Simplify right side
    559.54x = 163,214.17
  5. Step 5: Solve for x
    x = 163,214.17/559.54
  6. Step 6: Final answer
    x = 291.69

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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.