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Finding the Fourth Proportional to 415.84, 623.76 and 199.84

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Solution

The fourth proportional to 415.84, 623.76 and 199.84 is: 299.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.84 : 623.76 = 199.84 : x
  2. Step 2: Convert to fraction form
    415.84/623.76 = 199.84/x
  3. Step 3: Cross multiply
    415.84x = 623.76 × 199.84
  4. Step 4: Simplify right side
    415.84x = 124,652.20
  5. Step 5: Solve for x
    x = 124,652.20/415.84
  6. Step 6: Final answer
    x = 299.76

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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.