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Finding the Fourth Proportional to 623.19, 935.24 and 298.78

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Solution

The fourth proportional to 623.19, 935.24 and 298.78 is: 448.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.19 : 935.24 = 298.78 : x
  2. Step 2: Convert to fraction form
    623.19/935.24 = 298.78/x
  3. Step 3: Cross multiply
    623.19x = 935.24 × 298.78
  4. Step 4: Simplify right side
    623.19x = 279,431.01
  5. Step 5: Solve for x
    x = 279,431.01/623.19
  6. Step 6: Final answer
    x = 448.39

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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.