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Finding the Fourth Proportional to 429, 591.64 and 271.44

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Solution

The fourth proportional to 429, 591.64 and 271.44 is: 374.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    429 : 591.64 = 271.44 : x
  2. Step 2: Convert to fraction form
    429/591.64 = 271.44/x
  3. Step 3: Cross multiply
    429x = 591.64 × 271.44
  4. Step 4: Simplify right side
    429x = 160,594.76
  5. Step 5: Solve for x
    x = 160,594.76/429
  6. Step 6: Final answer
    x = 374.35

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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.