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Finding the Fourth Proportional to 415.60, 623.24 and 199.28

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Solution

The fourth proportional to 415.60, 623.24 and 199.28 is: 298.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.60 : 623.24 = 199.28 : x
  2. Step 2: Convert to fraction form
    415.60/623.24 = 199.28/x
  3. Step 3: Cross multiply
    415.60x = 623.24 × 199.28
  4. Step 4: Simplify right side
    415.60x = 124,199.27
  5. Step 5: Solve for x
    x = 124,199.27/415.60
  6. Step 6: Final answer
    x = 298.84

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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.