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Finding the Fourth Proportional to 390.05, 538.30 and 224.23

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Solution

The fourth proportional to 390.05, 538.30 and 224.23 is: 309.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.05 : 538.30 = 224.23 : x
  2. Step 2: Convert to fraction form
    390.05/538.30 = 224.23/x
  3. Step 3: Cross multiply
    390.05x = 538.30 × 224.23
  4. Step 4: Simplify right side
    390.05x = 120,703.01
  5. Step 5: Solve for x
    x = 120,703.01/390.05
  6. Step 6: Final answer
    x = 309.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.