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Finding the Fourth Proportional to 495.60, 684.07 and 348.27

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Solution

The fourth proportional to 495.60, 684.07 and 348.27 is: 480.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.60 : 684.07 = 348.27 : x
  2. Step 2: Convert to fraction form
    495.60/684.07 = 348.27/x
  3. Step 3: Cross multiply
    495.60x = 684.07 × 348.27
  4. Step 4: Simplify right side
    495.60x = 238,241.06
  5. Step 5: Solve for x
    x = 238,241.06/495.60
  6. Step 6: Final answer
    x = 480.71

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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.