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Finding the Fourth Proportional to 429.26, 641.43 and 291.15

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Solution

The fourth proportional to 429.26, 641.43 and 291.15 is: 435.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.26 : 641.43 = 291.15 : x
  2. Step 2: Convert to fraction form
    429.26/641.43 = 291.15/x
  3. Step 3: Cross multiply
    429.26x = 641.43 × 291.15
  4. Step 4: Simplify right side
    429.26x = 186,752.34
  5. Step 5: Solve for x
    x = 186,752.34/429.26
  6. Step 6: Final answer
    x = 435.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.