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Finding the Fourth Proportional to 623.90, 936.18 and 299.24

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Solution

The fourth proportional to 623.90, 936.18 and 299.24 is: 449.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.90 : 936.18 = 299.24 : x
  2. Step 2: Convert to fraction form
    623.90/936.18 = 299.24/x
  3. Step 3: Cross multiply
    623.90x = 936.18 × 299.24
  4. Step 4: Simplify right side
    623.90x = 280,142.50
  5. Step 5: Solve for x
    x = 280,142.50/623.90
  6. Step 6: Final answer
    x = 449.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.