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Finding the Fourth Proportional to 429.08, 591.92 and 289.02

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Solution

The fourth proportional to 429.08, 591.92 and 289.02 is: 398.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.08 : 591.92 = 289.02 : x
  2. Step 2: Convert to fraction form
    429.08/591.92 = 289.02/x
  3. Step 3: Cross multiply
    429.08x = 591.92 × 289.02
  4. Step 4: Simplify right side
    429.08x = 171,072.31
  5. Step 5: Solve for x
    x = 171,072.31/429.08
  6. Step 6: Final answer
    x = 398.70

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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.