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Finding the Fourth Proportional to 390.09, 538.30 and 224.18

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Solution

The fourth proportional to 390.09, 538.30 and 224.18 is: 309.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.09 : 538.30 = 224.18 : x
  2. Step 2: Convert to fraction form
    390.09/538.30 = 224.18/x
  3. Step 3: Cross multiply
    390.09x = 538.30 × 224.18
  4. Step 4: Simplify right side
    390.09x = 120,676.09
  5. Step 5: Solve for x
    x = 120,676.09/390.09
  6. Step 6: Final answer
    x = 309.35

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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.