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Finding the Fourth Proportional to 335.84, 504.06 and 199.01

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Solution

The fourth proportional to 335.84, 504.06 and 199.01 is: 298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.84 : 504.06 = 199.01 : x
  2. Step 2: Convert to fraction form
    335.84/504.06 = 199.01/x
  3. Step 3: Cross multiply
    335.84x = 504.06 × 199.01
  4. Step 4: Simplify right side
    335.84x = 100,312.98
  5. Step 5: Solve for x
    x = 100,312.98/335.84
  6. Step 6: Final answer
    x = 298.69

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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.