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Finding the Fourth Proportional to 289.52, 429.44 and 285.20

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Solution

The fourth proportional to 289.52, 429.44 and 285.20 is: 423.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.52 : 429.44 = 285.20 : x
  2. Step 2: Convert to fraction form
    289.52/429.44 = 285.20/x
  3. Step 3: Cross multiply
    289.52x = 429.44 × 285.20
  4. Step 4: Simplify right side
    289.52x = 122,476.29
  5. Step 5: Solve for x
    x = 122,476.29/289.52
  6. Step 6: Final answer
    x = 423.03

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.