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Finding the Fourth Proportional to 654.13, 981.47 and 394.29

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Solution

The fourth proportional to 654.13, 981.47 and 394.29 is: 591.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.13 : 981.47 = 394.29 : x
  2. Step 2: Convert to fraction form
    654.13/981.47 = 394.29/x
  3. Step 3: Cross multiply
    654.13x = 981.47 × 394.29
  4. Step 4: Simplify right side
    654.13x = 386,981.83
  5. Step 5: Solve for x
    x = 386,981.83/654.13
  6. Step 6: Final answer
    x = 591.60

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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.