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Finding the Fourth Proportional to 289.39, 434.09 and 97.02

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Solution

The fourth proportional to 289.39, 434.09 and 97.02 is: 145.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.39 : 434.09 = 97.02 : x
  2. Step 2: Convert to fraction form
    289.39/434.09 = 97.02/x
  3. Step 3: Cross multiply
    289.39x = 434.09 × 97.02
  4. Step 4: Simplify right side
    289.39x = 42,113.24
  5. Step 5: Solve for x
    x = 42,113.24/289.39
  6. Step 6: Final answer
    x = 145.52

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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.