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Finding the Fourth Proportional to 348.40, 519.53 and 328.96

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Solution

The fourth proportional to 348.40, 519.53 and 328.96 is: 490.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.40 : 519.53 = 328.96 : x
  2. Step 2: Convert to fraction form
    348.40/519.53 = 328.96/x
  3. Step 3: Cross multiply
    348.40x = 519.53 × 328.96
  4. Step 4: Simplify right side
    348.40x = 170,904.59
  5. Step 5: Solve for x
    x = 170,904.59/348.40
  6. Step 6: Final answer
    x = 490.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.