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Finding the Fourth Proportional to 415.75, 623.02 and 299.51

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Solution

The fourth proportional to 415.75, 623.02 and 299.51 is: 448.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.75 : 623.02 = 299.51 : x
  2. Step 2: Convert to fraction form
    415.75/623.02 = 299.51/x
  3. Step 3: Cross multiply
    415.75x = 623.02 × 299.51
  4. Step 4: Simplify right side
    415.75x = 186,600.72
  5. Step 5: Solve for x
    x = 186,600.72/415.75
  6. Step 6: Final answer
    x = 448.83

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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.