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Finding the Fourth Proportional to 566.93, 849.84 and 201.47

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Solution

The fourth proportional to 566.93, 849.84 and 201.47 is: 302.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.93 : 849.84 = 201.47 : x
  2. Step 2: Convert to fraction form
    566.93/849.84 = 201.47/x
  3. Step 3: Cross multiply
    566.93x = 849.84 × 201.47
  4. Step 4: Simplify right side
    566.93x = 171,213.02
  5. Step 5: Solve for x
    x = 171,213.02/566.93
  6. Step 6: Final answer
    x = 302.00

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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.