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Finding the Fourth Proportional to 364.61, 502.94 and 240.22

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Solution

The fourth proportional to 364.61, 502.94 and 240.22 is: 331.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.61 : 502.94 = 240.22 : x
  2. Step 2: Convert to fraction form
    364.61/502.94 = 240.22/x
  3. Step 3: Cross multiply
    364.61x = 502.94 × 240.22
  4. Step 4: Simplify right side
    364.61x = 120,815.67
  5. Step 5: Solve for x
    x = 120,815.67/364.61
  6. Step 6: Final answer
    x = 331.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.