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Finding the Fourth Proportional to 495.29, 683.51 and 298.69

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Solution

The fourth proportional to 495.29, 683.51 and 298.69 is: 412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.29 : 683.51 = 298.69 : x
  2. Step 2: Convert to fraction form
    495.29/683.51 = 298.69/x
  3. Step 3: Cross multiply
    495.29x = 683.51 × 298.69
  4. Step 4: Simplify right side
    495.29x = 204,156.92
  5. Step 5: Solve for x
    x = 204,156.92/495.29
  6. Step 6: Final answer
    x = 412.20

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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.