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Finding the Fourth Proportional to 564.82, 846.74 and 240.42

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Solution

The fourth proportional to 564.82, 846.74 and 240.42 is: 360.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.82 : 846.74 = 240.42 : x
  2. Step 2: Convert to fraction form
    564.82/846.74 = 240.42/x
  3. Step 3: Cross multiply
    564.82x = 846.74 × 240.42
  4. Step 4: Simplify right side
    564.82x = 203,573.23
  5. Step 5: Solve for x
    x = 203,573.23/564.82
  6. Step 6: Final answer
    x = 360.42

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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.