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Finding the Fourth Proportional to 656.34, 984.86 and 436.43

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Solution

The fourth proportional to 656.34, 984.86 and 436.43 is: 654.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.34 : 984.86 = 436.43 : x
  2. Step 2: Convert to fraction form
    656.34/984.86 = 436.43/x
  3. Step 3: Cross multiply
    656.34x = 984.86 × 436.43
  4. Step 4: Simplify right side
    656.34x = 429,815.34
  5. Step 5: Solve for x
    x = 429,815.34/656.34
  6. Step 6: Final answer
    x = 654.87

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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.