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Finding the Fourth Proportional to 348.16, 480.32 and 210.24

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Solution

The fourth proportional to 348.16, 480.32 and 210.24 is: 290.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.16 : 480.32 = 210.24 : x
  2. Step 2: Convert to fraction form
    348.16/480.32 = 210.24/x
  3. Step 3: Cross multiply
    348.16x = 480.32 × 210.24
  4. Step 4: Simplify right side
    348.16x = 100,982.48
  5. Step 5: Solve for x
    x = 100,982.48/348.16
  6. Step 6: Final answer
    x = 290.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.