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Finding the Fourth Proportional to 390.46, 538.77 and 224.66

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Solution

The fourth proportional to 390.46, 538.77 and 224.66 is: 309.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.46 : 538.77 = 224.66 : x
  2. Step 2: Convert to fraction form
    390.46/538.77 = 224.66/x
  3. Step 3: Cross multiply
    390.46x = 538.77 × 224.66
  4. Step 4: Simplify right side
    390.46x = 121,040.07
  5. Step 5: Solve for x
    x = 121,040.07/390.46
  6. Step 6: Final answer
    x = 309.99

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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.