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Finding the Fourth Proportional to 289.04, 398.70 and 200.48

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Solution

The fourth proportional to 289.04, 398.70 and 200.48 is: 276.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.04 : 398.70 = 200.48 : x
  2. Step 2: Convert to fraction form
    289.04/398.70 = 200.48/x
  3. Step 3: Cross multiply
    289.04x = 398.70 × 200.48
  4. Step 4: Simplify right side
    289.04x = 79,931.38
  5. Step 5: Solve for x
    x = 79,931.38/289.04
  6. Step 6: Final answer
    x = 276.54

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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.