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Finding the Fourth Proportional to 347.41, 520.62 and 201.16

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Solution

The fourth proportional to 347.41, 520.62 and 201.16 is: 301.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.41 : 520.62 = 201.16 : x
  2. Step 2: Convert to fraction form
    347.41/520.62 = 201.16/x
  3. Step 3: Cross multiply
    347.41x = 520.62 × 201.16
  4. Step 4: Simplify right side
    347.41x = 104,727.92
  5. Step 5: Solve for x
    x = 104,727.92/347.41
  6. Step 6: Final answer
    x = 301.45

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