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Finding the Fourth Proportional to 365.34, 504.18 and 217.92

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Solution

The fourth proportional to 365.34, 504.18 and 217.92 is: 300.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.34 : 504.18 = 217.92 : x
  2. Step 2: Convert to fraction form
    365.34/504.18 = 217.92/x
  3. Step 3: Cross multiply
    365.34x = 504.18 × 217.92
  4. Step 4: Simplify right side
    365.34x = 109,870.91
  5. Step 5: Solve for x
    x = 109,870.91/365.34
  6. Step 6: Final answer
    x = 300.74

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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.