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Finding the Fourth Proportional to 495.39, 683.07 and 337.91

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Solution

The fourth proportional to 495.39, 683.07 and 337.91 is: 465.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.39 : 683.07 = 337.91 : x
  2. Step 2: Convert to fraction form
    495.39/683.07 = 337.91/x
  3. Step 3: Cross multiply
    495.39x = 683.07 × 337.91
  4. Step 4: Simplify right side
    495.39x = 230,812.77
  5. Step 5: Solve for x
    x = 230,812.77/495.39
  6. Step 6: Final answer
    x = 465.92

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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.