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Finding the Fourth Proportional to 654.90, 981.36 and 438.09

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Solution

The fourth proportional to 654.90, 981.36 and 438.09 is: 656.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.90 : 981.36 = 438.09 : x
  2. Step 2: Convert to fraction form
    654.90/981.36 = 438.09/x
  3. Step 3: Cross multiply
    654.90x = 981.36 × 438.09
  4. Step 4: Simplify right side
    654.90x = 429,924.00
  5. Step 5: Solve for x
    x = 429,924.00/654.90
  6. Step 6: Final answer
    x = 656.47

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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.