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Finding the Fourth Proportional to 624.73, 935.56 and 429.44

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Solution

The fourth proportional to 624.73, 935.56 and 429.44 is: 643.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.73 : 935.56 = 429.44 : x
  2. Step 2: Convert to fraction form
    624.73/935.56 = 429.44/x
  3. Step 3: Cross multiply
    624.73x = 935.56 × 429.44
  4. Step 4: Simplify right side
    624.73x = 401,765.59
  5. Step 5: Solve for x
    x = 401,765.59/624.73
  6. Step 6: Final answer
    x = 643.10

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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.