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Finding the Fourth Proportional to 654.51, 982.17 and 346.59

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Solution

The fourth proportional to 654.51, 982.17 and 346.59 is: 520.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.51 : 982.17 = 346.59 : x
  2. Step 2: Convert to fraction form
    654.51/982.17 = 346.59/x
  3. Step 3: Cross multiply
    654.51x = 982.17 × 346.59
  4. Step 4: Simplify right side
    654.51x = 340,410.30
  5. Step 5: Solve for x
    x = 340,410.30/654.51
  6. Step 6: Final answer
    x = 520.10

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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.