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Finding the Fourth Proportional to 390.41, 538.73 and 224.63

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Solution

The fourth proportional to 390.41, 538.73 and 224.63 is: 309.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.41 : 538.73 = 224.63 : x
  2. Step 2: Convert to fraction form
    390.41/538.73 = 224.63/x
  3. Step 3: Cross multiply
    390.41x = 538.73 × 224.63
  4. Step 4: Simplify right side
    390.41x = 121,011.10
  5. Step 5: Solve for x
    x = 121,011.10/390.41
  6. Step 6: Final answer
    x = 309.96

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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.