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Finding the Fourth Proportional to 349.89, 527.46 and 301.52

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Solution

The fourth proportional to 349.89, 527.46 and 301.52 is: 454.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.89 : 527.46 = 301.52 : x
  2. Step 2: Convert to fraction form
    349.89/527.46 = 301.52/x
  3. Step 3: Cross multiply
    349.89x = 527.46 × 301.52
  4. Step 4: Simplify right side
    349.89x = 159,037.10
  5. Step 5: Solve for x
    x = 159,037.10/349.89
  6. Step 6: Final answer
    x = 454.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.