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Finding the Fourth Proportional to 560.46, 839.96 and 235.44

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Solution

The fourth proportional to 560.46, 839.96 and 235.44 is: 352.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.46 : 839.96 = 235.44 : x
  2. Step 2: Convert to fraction form
    560.46/839.96 = 235.44/x
  3. Step 3: Cross multiply
    560.46x = 839.96 × 235.44
  4. Step 4: Simplify right side
    560.46x = 197,760.18
  5. Step 5: Solve for x
    x = 197,760.18/560.46
  6. Step 6: Final answer
    x = 352.85

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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.