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Finding the Fourth Proportional to 348, 480.48 and 210.24

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Solution

The fourth proportional to 348, 480.48 and 210.24 is: 290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    348 : 480.48 = 210.24 : x
  2. Step 2: Convert to fraction form
    348/480.48 = 210.24/x
  3. Step 3: Cross multiply
    348x = 480.48 × 210.24
  4. Step 4: Simplify right side
    348x = 101,016.12
  5. Step 5: Solve for x
    x = 101,016.12/348
  6. Step 6: Final answer
    x = 290.28

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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.