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Finding the Fourth Proportional to 289.49, 434.25 and 84.06

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Solution

The fourth proportional to 289.49, 434.25 and 84.06 is: 126.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.49 : 434.25 = 84.06 : x
  2. Step 2: Convert to fraction form
    289.49/434.25 = 84.06/x
  3. Step 3: Cross multiply
    289.49x = 434.25 × 84.06
  4. Step 4: Simplify right side
    289.49x = 36,503.06
  5. Step 5: Solve for x
    x = 36,503.06/289.49
  6. Step 6: Final answer
    x = 126.10

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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.