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Finding the Fourth Proportional to 654.18, 981.32 and 380.18

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Solution

The fourth proportional to 654.18, 981.32 and 380.18 is: 570.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.18 : 981.32 = 380.18 : x
  2. Step 2: Convert to fraction form
    654.18/981.32 = 380.18/x
  3. Step 3: Cross multiply
    654.18x = 981.32 × 380.18
  4. Step 4: Simplify right side
    654.18x = 373,071.43
  5. Step 5: Solve for x
    x = 373,071.43/654.18
  6. Step 6: Final answer
    x = 570.29

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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.