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Finding the Fourth Proportional to 429.89, 647.35 and 308.99

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Solution

The fourth proportional to 429.89, 647.35 and 308.99 is: 465.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.89 : 647.35 = 308.99 : x
  2. Step 2: Convert to fraction form
    429.89/647.35 = 308.99/x
  3. Step 3: Cross multiply
    429.89x = 647.35 × 308.99
  4. Step 4: Simplify right side
    429.89x = 200,023.13
  5. Step 5: Solve for x
    x = 200,023.13/429.89
  6. Step 6: Final answer
    x = 465.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.