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Finding the Fourth Proportional to 289.38, 434.00 and 97.01

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Solution

The fourth proportional to 289.38, 434.00 and 97.01 is: 145.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.38 : 434.00 = 97.01 : x
  2. Step 2: Convert to fraction form
    289.38/434.00 = 97.01/x
  3. Step 3: Cross multiply
    289.38x = 434.00 × 97.01
  4. Step 4: Simplify right side
    289.38x = 42,100.41
  5. Step 5: Solve for x
    x = 42,100.41/289.38
  6. Step 6: Final answer
    x = 145.48

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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.