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Finding the Fourth Proportional to 566.62, 849.95 and 201.45

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Solution

The fourth proportional to 566.62, 849.95 and 201.45 is: 302.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.62 : 849.95 = 201.45 : x
  2. Step 2: Convert to fraction form
    566.62/849.95 = 201.45/x
  3. Step 3: Cross multiply
    566.62x = 849.95 × 201.45
  4. Step 4: Simplify right side
    566.62x = 171,222.43
  5. Step 5: Solve for x
    x = 171,222.43/566.62
  6. Step 6: Final answer
    x = 302.18

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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.