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Finding the Fourth Proportional to 346.93, 519.85 and 270.10

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Solution

The fourth proportional to 346.93, 519.85 and 270.10 is: 404.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.93 : 519.85 = 270.10 : x
  2. Step 2: Convert to fraction form
    346.93/519.85 = 270.10/x
  3. Step 3: Cross multiply
    346.93x = 519.85 × 270.10
  4. Step 4: Simplify right side
    346.93x = 140,411.49
  5. Step 5: Solve for x
    x = 140,411.49/346.93
  6. Step 6: Final answer
    x = 404.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.