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Finding the Fourth Proportional to 623.77, 935.76 and 299.14

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Solution

The fourth proportional to 623.77, 935.76 and 299.14 is: 448.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.77 : 935.76 = 299.14 : x
  2. Step 2: Convert to fraction form
    623.77/935.76 = 299.14/x
  3. Step 3: Cross multiply
    623.77x = 935.76 × 299.14
  4. Step 4: Simplify right side
    623.77x = 279,923.25
  5. Step 5: Solve for x
    x = 279,923.25/623.77
  6. Step 6: Final answer
    x = 448.76

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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.