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Finding the Fourth Proportional to 566, 849.40 and 370.98

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Solution

The fourth proportional to 566, 849.40 and 370.98 is: 556.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    566 : 849.40 = 370.98 : x
  2. Step 2: Convert to fraction form
    566/849.40 = 370.98/x
  3. Step 3: Cross multiply
    566x = 849.40 × 370.98
  4. Step 4: Simplify right side
    566x = 315,110.41
  5. Step 5: Solve for x
    x = 315,110.41/566
  6. Step 6: Final answer
    x = 556.73

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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.