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Finding the Fourth Proportional to 656.87, 906.51 and 408.33

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Solution

The fourth proportional to 656.87, 906.51 and 408.33 is: 563.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.87 : 906.51 = 408.33 : x
  2. Step 2: Convert to fraction form
    656.87/906.51 = 408.33/x
  3. Step 3: Cross multiply
    656.87x = 906.51 × 408.33
  4. Step 4: Simplify right side
    656.87x = 370,155.23
  5. Step 5: Solve for x
    x = 370,155.23/656.87
  6. Step 6: Final answer
    x = 563.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.