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Finding the Fourth Proportional to 566.74, 849.96 and 201.53

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Solution

The fourth proportional to 566.74, 849.96 and 201.53 is: 302.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.74 : 849.96 = 201.53 : x
  2. Step 2: Convert to fraction form
    566.74/849.96 = 201.53/x
  3. Step 3: Cross multiply
    566.74x = 849.96 × 201.53
  4. Step 4: Simplify right side
    566.74x = 171,291.38
  5. Step 5: Solve for x
    x = 171,291.38/566.74
  6. Step 6: Final answer
    x = 302.24

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Why These Related Problems?

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