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Finding the Fourth Proportional to 289.90, 434.78 and 84.48

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Solution

The fourth proportional to 289.90, 434.78 and 84.48 is: 126.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.90 : 434.78 = 84.48 : x
  2. Step 2: Convert to fraction form
    289.90/434.78 = 84.48/x
  3. Step 3: Cross multiply
    289.90x = 434.78 × 84.48
  4. Step 4: Simplify right side
    289.90x = 36,728.95
  5. Step 5: Solve for x
    x = 36,728.95/289.90
  6. Step 6: Final answer
    x = 126.70

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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.