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Finding the Fourth Proportional to 353.87, 527.08 and 349.07

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Solution

The fourth proportional to 353.87, 527.08 and 349.07 is: 519.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.87 : 527.08 = 349.07 : x
  2. Step 2: Convert to fraction form
    353.87/527.08 = 349.07/x
  3. Step 3: Cross multiply
    353.87x = 527.08 × 349.07
  4. Step 4: Simplify right side
    353.87x = 183,984.31
  5. Step 5: Solve for x
    x = 183,984.31/353.87
  6. Step 6: Final answer
    x = 519.93

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