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Finding the Fourth Proportional to 349.20, 522 and 340.56

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Solution

The fourth proportional to 349.20, 522 and 340.56 is: 509.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.20 : 522 = 340.56 : x
  2. Step 2: Convert to fraction form
    349.20/522 = 340.56/x
  3. Step 3: Cross multiply
    349.20x = 522 × 340.56
  4. Step 4: Simplify right side
    349.20x = 177,772.32
  5. Step 5: Solve for x
    x = 177,772.32/349.20
  6. Step 6: Final answer
    x = 509.08

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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.