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Finding the Fourth Proportional to 289.58, 434.37 and 84.16

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Solution

The fourth proportional to 289.58, 434.37 and 84.16 is: 126.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.58 : 434.37 = 84.16 : x
  2. Step 2: Convert to fraction form
    289.58/434.37 = 84.16/x
  3. Step 3: Cross multiply
    289.58x = 434.37 × 84.16
  4. Step 4: Simplify right side
    289.58x = 36,554.41
  5. Step 5: Solve for x
    x = 36,554.41/289.58
  6. Step 6: Final answer
    x = 126.23

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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.