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Finding the Fourth Proportional to 429.24, 643.85 and 275.24

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Solution

The fourth proportional to 429.24, 643.85 and 275.24 is: 412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.24 : 643.85 = 275.24 : x
  2. Step 2: Convert to fraction form
    429.24/643.85 = 275.24/x
  3. Step 3: Cross multiply
    429.24x = 643.85 × 275.24
  4. Step 4: Simplify right side
    429.24x = 177,210.05
  5. Step 5: Solve for x
    x = 177,210.05/429.24
  6. Step 6: Final answer
    x = 412.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.