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Finding the Fourth Proportional to 566.37, 849.42 and 538.59

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Solution

The fourth proportional to 566.37, 849.42 and 538.59 is: 807.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.37 : 849.42 = 538.59 : x
  2. Step 2: Convert to fraction form
    566.37/849.42 = 538.59/x
  3. Step 3: Cross multiply
    566.37x = 849.42 × 538.59
  4. Step 4: Simplify right side
    566.37x = 457,489.12
  5. Step 5: Solve for x
    x = 457,489.12/566.37
  6. Step 6: Final answer
    x = 807.76

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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.