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Finding the Fourth Proportional to 440.70, 608.18 and 293.24

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Solution

The fourth proportional to 440.70, 608.18 and 293.24 is: 404.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.70 : 608.18 = 293.24 : x
  2. Step 2: Convert to fraction form
    440.70/608.18 = 293.24/x
  3. Step 3: Cross multiply
    440.70x = 608.18 × 293.24
  4. Step 4: Simplify right side
    440.70x = 178,338.20
  5. Step 5: Solve for x
    x = 178,338.20/440.70
  6. Step 6: Final answer
    x = 404.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.