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Finding the Fourth Proportional to 566.09, 849.29 and 237.05

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Solution

The fourth proportional to 566.09, 849.29 and 237.05 is: 355.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.09 : 849.29 = 237.05 : x
  2. Step 2: Convert to fraction form
    566.09/849.29 = 237.05/x
  3. Step 3: Cross multiply
    566.09x = 849.29 × 237.05
  4. Step 4: Simplify right side
    566.09x = 201,324.34
  5. Step 5: Solve for x
    x = 201,324.34/566.09
  6. Step 6: Final answer
    x = 355.64

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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.