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Finding the Fourth Proportional to 348.78, 519.74 and 337.78

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Solution

The fourth proportional to 348.78, 519.74 and 337.78 is: 503.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.78 : 519.74 = 337.78 : x
  2. Step 2: Convert to fraction form
    348.78/519.74 = 337.78/x
  3. Step 3: Cross multiply
    348.78x = 519.74 × 337.78
  4. Step 4: Simplify right side
    348.78x = 175,558.00
  5. Step 5: Solve for x
    x = 175,558.00/348.78
  6. Step 6: Final answer
    x = 503.34

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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.