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Finding the Fourth Proportional to 649.64, 974.55 and 238.67

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Solution

The fourth proportional to 649.64, 974.55 and 238.67 is: 358.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.64 : 974.55 = 238.67 : x
  2. Step 2: Convert to fraction form
    649.64/974.55 = 238.67/x
  3. Step 3: Cross multiply
    649.64x = 974.55 × 238.67
  4. Step 4: Simplify right side
    649.64x = 232,595.85
  5. Step 5: Solve for x
    x = 232,595.85/649.64
  6. Step 6: Final answer
    x = 358.04

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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.