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Finding the Fourth Proportional to 498.36, 686.85 and 367.14

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Solution

The fourth proportional to 498.36, 686.85 and 367.14 is: 506.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.36 : 686.85 = 367.14 : x
  2. Step 2: Convert to fraction form
    498.36/686.85 = 367.14/x
  3. Step 3: Cross multiply
    498.36x = 686.85 × 367.14
  4. Step 4: Simplify right side
    498.36x = 252,170.11
  5. Step 5: Solve for x
    x = 252,170.11/498.36
  6. Step 6: Final answer
    x = 506.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.