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Finding the Fourth Proportional to 390.22, 538.16 and 363.90

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Solution

The fourth proportional to 390.22, 538.16 and 363.90 is: 501.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.22 : 538.16 = 363.90 : x
  2. Step 2: Convert to fraction form
    390.22/538.16 = 363.90/x
  3. Step 3: Cross multiply
    390.22x = 538.16 × 363.90
  4. Step 4: Simplify right side
    390.22x = 195,836.42
  5. Step 5: Solve for x
    x = 195,836.42/390.22
  6. Step 6: Final answer
    x = 501.86

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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.