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Finding the Fourth Proportional to 649.52, 974.52 and 303.04

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Solution

The fourth proportional to 649.52, 974.52 and 303.04 is: 454.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.52 : 974.52 = 303.04 : x
  2. Step 2: Convert to fraction form
    649.52/974.52 = 303.04/x
  3. Step 3: Cross multiply
    649.52x = 974.52 × 303.04
  4. Step 4: Simplify right side
    649.52x = 295,318.54
  5. Step 5: Solve for x
    x = 295,318.54/649.52
  6. Step 6: Final answer
    x = 454.67

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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.