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Finding the Fourth Proportional to 390.09, 584.15 and 353.11

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Solution

The fourth proportional to 390.09, 584.15 and 353.11 is: 528.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.09 : 584.15 = 353.11 : x
  2. Step 2: Convert to fraction form
    390.09/584.15 = 353.11/x
  3. Step 3: Cross multiply
    390.09x = 584.15 × 353.11
  4. Step 4: Simplify right side
    390.09x = 206,266.29
  5. Step 5: Solve for x
    x = 206,266.29/390.09
  6. Step 6: Final answer
    x = 528.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.