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Finding the Fourth Proportional to 561.61, 842.37 and 232.46

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Solution

The fourth proportional to 561.61, 842.37 and 232.46 is: 348.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.61 : 842.37 = 232.46 : x
  2. Step 2: Convert to fraction form
    561.61/842.37 = 232.46/x
  3. Step 3: Cross multiply
    561.61x = 842.37 × 232.46
  4. Step 4: Simplify right side
    561.61x = 195,818.43
  5. Step 5: Solve for x
    x = 195,818.43/561.61
  6. Step 6: Final answer
    x = 348.67

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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.