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Finding the Fourth Proportional to 346.77, 520.71 and 330.78

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Solution

The fourth proportional to 346.77, 520.71 and 330.78 is: 496.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.77 : 520.71 = 330.78 : x
  2. Step 2: Convert to fraction form
    346.77/520.71 = 330.78/x
  3. Step 3: Cross multiply
    346.77x = 520.71 × 330.78
  4. Step 4: Simplify right side
    346.77x = 172,240.45
  5. Step 5: Solve for x
    x = 172,240.45/346.77
  6. Step 6: Final answer
    x = 496.70

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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.