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Finding the Fourth Proportional to 390.63, 584.31 and 361.47

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Solution

The fourth proportional to 390.63, 584.31 and 361.47 is: 540.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.63 : 584.31 = 361.47 : x
  2. Step 2: Convert to fraction form
    390.63/584.31 = 361.47/x
  3. Step 3: Cross multiply
    390.63x = 584.31 × 361.47
  4. Step 4: Simplify right side
    390.63x = 211,210.54
  5. Step 5: Solve for x
    x = 211,210.54/390.63
  6. Step 6: Final answer
    x = 540.69

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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.