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Finding the Fourth Proportional to 560.54, 839.96 and 235.82

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Solution

The fourth proportional to 560.54, 839.96 and 235.82 is: 353.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.54 : 839.96 = 235.82 : x
  2. Step 2: Convert to fraction form
    560.54/839.96 = 235.82/x
  3. Step 3: Cross multiply
    560.54x = 839.96 × 235.82
  4. Step 4: Simplify right side
    560.54x = 198,079.37
  5. Step 5: Solve for x
    x = 198,079.37/560.54
  6. Step 6: Final answer
    x = 353.37

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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.