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Finding the Fourth Proportional to 624.10, 936.16 and 299.40

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Solution

The fourth proportional to 624.10, 936.16 and 299.40 is: 449.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.10 : 936.16 = 299.40 : x
  2. Step 2: Convert to fraction form
    624.10/936.16 = 299.40/x
  3. Step 3: Cross multiply
    624.10x = 936.16 × 299.40
  4. Step 4: Simplify right side
    624.10x = 280,282.37
  5. Step 5: Solve for x
    x = 280,282.37/624.10
  6. Step 6: Final answer
    x = 449.10

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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.