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Finding the Fourth Proportional to 624, 936.08 and 299.36

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Solution

The fourth proportional to 624, 936.08 and 299.36 is: 449.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    624 : 936.08 = 299.36 : x
  2. Step 2: Convert to fraction form
    624/936.08 = 299.36/x
  3. Step 3: Cross multiply
    624x = 936.08 × 299.36
  4. Step 4: Simplify right side
    624x = 280,224.91
  5. Step 5: Solve for x
    x = 280,224.91/624
  6. Step 6: Final answer
    x = 449.08

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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.