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Finding the Fourth Proportional to 429.57, 593.03 and 298.76

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Solution

The fourth proportional to 429.57, 593.03 and 298.76 is: 412.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.57 : 593.03 = 298.76 : x
  2. Step 2: Convert to fraction form
    429.57/593.03 = 298.76/x
  3. Step 3: Cross multiply
    429.57x = 593.03 × 298.76
  4. Step 4: Simplify right side
    429.57x = 177,171.42
  5. Step 5: Solve for x
    x = 177,171.42/429.57
  6. Step 6: Final answer
    x = 412.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.