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Finding the Fourth Proportional to 390.29, 538.44 and 224.47

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Solution

The fourth proportional to 390.29, 538.44 and 224.47 is: 309.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.29 : 538.44 = 224.47 : x
  2. Step 2: Convert to fraction form
    390.29/538.44 = 224.47/x
  3. Step 3: Cross multiply
    390.29x = 538.44 × 224.47
  4. Step 4: Simplify right side
    390.29x = 120,860.93
  5. Step 5: Solve for x
    x = 120,860.93/390.29
  6. Step 6: Final answer
    x = 309.67

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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.