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Finding the Fourth Proportional to 367.30, 504.17 and 324.93

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Solution

The fourth proportional to 367.30, 504.17 and 324.93 is: 446.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.30 : 504.17 = 324.93 : x
  2. Step 2: Convert to fraction form
    367.30/504.17 = 324.93/x
  3. Step 3: Cross multiply
    367.30x = 504.17 × 324.93
  4. Step 4: Simplify right side
    367.30x = 163,820.77
  5. Step 5: Solve for x
    x = 163,820.77/367.30
  6. Step 6: Final answer
    x = 446.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.