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Finding the Fourth Proportional to 348.02, 480.34 and 217.10

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Solution

The fourth proportional to 348.02, 480.34 and 217.10 is: 299.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.02 : 480.34 = 217.10 : x
  2. Step 2: Convert to fraction form
    348.02/480.34 = 217.10/x
  3. Step 3: Cross multiply
    348.02x = 480.34 × 217.10
  4. Step 4: Simplify right side
    348.02x = 104,281.81
  5. Step 5: Solve for x
    x = 104,281.81/348.02
  6. Step 6: Final answer
    x = 299.64

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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.