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Finding the Fourth Proportional to 654.84, 981.78 and 365.88

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Solution

The fourth proportional to 654.84, 981.78 and 365.88 is: 548.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.84 : 981.78 = 365.88 : x
  2. Step 2: Convert to fraction form
    654.84/981.78 = 365.88/x
  3. Step 3: Cross multiply
    654.84x = 981.78 × 365.88
  4. Step 4: Simplify right side
    654.84x = 359,213.67
  5. Step 5: Solve for x
    x = 359,213.67/654.84
  6. Step 6: Final answer
    x = 548.55

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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.