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Finding the Fourth Proportional to 656.42, 984.63 and 367.52

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Solution

The fourth proportional to 656.42, 984.63 and 367.52 is: 551.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.42 : 984.63 = 367.52 : x
  2. Step 2: Convert to fraction form
    656.42/984.63 = 367.52/x
  3. Step 3: Cross multiply
    656.42x = 984.63 × 367.52
  4. Step 4: Simplify right side
    656.42x = 361,871.22
  5. Step 5: Solve for x
    x = 361,871.22/656.42
  6. Step 6: Final answer
    x = 551.28

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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.