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Finding the Fourth Proportional to 678.31, 935.87 and 429.54

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Solution

The fourth proportional to 678.31, 935.87 and 429.54 is: 592.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.31 : 935.87 = 429.54 : x
  2. Step 2: Convert to fraction form
    678.31/935.87 = 429.54/x
  3. Step 3: Cross multiply
    678.31x = 935.87 × 429.54
  4. Step 4: Simplify right side
    678.31x = 401,990.36
  5. Step 5: Solve for x
    x = 401,990.36/678.31
  6. Step 6: Final answer
    x = 592.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.