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Finding the Fourth Proportional to 495.13, 683.27 and 288.13

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Solution

The fourth proportional to 495.13, 683.27 and 288.13 is: 397.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.13 : 683.27 = 288.13 : x
  2. Step 2: Convert to fraction form
    495.13/683.27 = 288.13/x
  3. Step 3: Cross multiply
    495.13x = 683.27 × 288.13
  4. Step 4: Simplify right side
    495.13x = 196,867.89
  5. Step 5: Solve for x
    x = 196,867.89/495.13
  6. Step 6: Final answer
    x = 397.61

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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.