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Finding the Fourth Proportional to 289.80, 434.97 and 283.14

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Solution

The fourth proportional to 289.80, 434.97 and 283.14 is: 424.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.80 : 434.97 = 283.14 : x
  2. Step 2: Convert to fraction form
    289.80/434.97 = 283.14/x
  3. Step 3: Cross multiply
    289.80x = 434.97 × 283.14
  4. Step 4: Simplify right side
    289.80x = 123,157.41
  5. Step 5: Solve for x
    x = 123,157.41/289.80
  6. Step 6: Final answer
    x = 424.97

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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.