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Finding the Fourth Proportional to 429.42, 593.03 and 296.99

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Solution

The fourth proportional to 429.42, 593.03 and 296.99 is: 410.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.42 : 593.03 = 296.99 : x
  2. Step 2: Convert to fraction form
    429.42/593.03 = 296.99/x
  3. Step 3: Cross multiply
    429.42x = 593.03 × 296.99
  4. Step 4: Simplify right side
    429.42x = 176,123.98
  5. Step 5: Solve for x
    x = 176,123.98/429.42
  6. Step 6: Final answer
    x = 410.14

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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.