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Finding the Fourth Proportional to 429.96, 593.60 and 297.84

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Solution

The fourth proportional to 429.96, 593.60 and 297.84 is: 411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.96 : 593.60 = 297.84 : x
  2. Step 2: Convert to fraction form
    429.96/593.60 = 297.84/x
  3. Step 3: Cross multiply
    429.96x = 593.60 × 297.84
  4. Step 4: Simplify right side
    429.96x = 176,797.82
  5. Step 5: Solve for x
    x = 176,797.82/429.96
  6. Step 6: Final answer
    x = 411.20

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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.