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Finding the Fourth Proportional to 348.48, 480.96 and 290.24

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Solution

The fourth proportional to 348.48, 480.96 and 290.24 is: 400.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.48 : 480.96 = 290.24 : x
  2. Step 2: Convert to fraction form
    348.48/480.96 = 290.24/x
  3. Step 3: Cross multiply
    348.48x = 480.96 × 290.24
  4. Step 4: Simplify right side
    348.48x = 139,593.83
  5. Step 5: Solve for x
    x = 139,593.83/348.48
  6. Step 6: Final answer
    x = 400.58

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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.