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Finding the Fourth Proportional to 289.85, 434.77 and 97.47

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Solution

The fourth proportional to 289.85, 434.77 and 97.47 is: 146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.85 : 434.77 = 97.47 : x
  2. Step 2: Convert to fraction form
    289.85/434.77 = 97.47/x
  3. Step 3: Cross multiply
    289.85x = 434.77 × 97.47
  4. Step 4: Simplify right side
    289.85x = 42,376.79
  5. Step 5: Solve for x
    x = 42,376.79/289.85
  6. Step 6: Final answer
    x = 146.21

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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.