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Finding the Fourth Proportional to 390.71, 539.36 and 297.46

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Solution

The fourth proportional to 390.71, 539.36 and 297.46 is: 410.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.71 : 539.36 = 297.46 : x
  2. Step 2: Convert to fraction form
    390.71/539.36 = 297.46/x
  3. Step 3: Cross multiply
    390.71x = 539.36 × 297.46
  4. Step 4: Simplify right side
    390.71x = 160,438.03
  5. Step 5: Solve for x
    x = 160,438.03/390.71
  6. Step 6: Final answer
    x = 410.63

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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.