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Finding the Fourth Proportional to 429.71, 646.99 and 378.68

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Solution

The fourth proportional to 429.71, 646.99 and 378.68 is: 570.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.71 : 646.99 = 378.68 : x
  2. Step 2: Convert to fraction form
    429.71/646.99 = 378.68/x
  3. Step 3: Cross multiply
    429.71x = 646.99 × 378.68
  4. Step 4: Simplify right side
    429.71x = 244,997.99
  5. Step 5: Solve for x
    x = 244,997.99/429.71
  6. Step 6: Final answer
    x = 570.15

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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.