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Finding the Fourth Proportional to 495.11, 683.17 and 296.01

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Solution

The fourth proportional to 495.11, 683.17 and 296.01 is: 408.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.11 : 683.17 = 296.01 : x
  2. Step 2: Convert to fraction form
    495.11/683.17 = 296.01/x
  3. Step 3: Cross multiply
    495.11x = 683.17 × 296.01
  4. Step 4: Simplify right side
    495.11x = 202,225.15
  5. Step 5: Solve for x
    x = 202,225.15/495.11
  6. Step 6: Final answer
    x = 408.44

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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.