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Finding the Fourth Proportional to 654.76, 982.30 and 346.92

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Solution

The fourth proportional to 654.76, 982.30 and 346.92 is: 520.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.76 : 982.30 = 346.92 : x
  2. Step 2: Convert to fraction form
    654.76/982.30 = 346.92/x
  3. Step 3: Cross multiply
    654.76x = 982.30 × 346.92
  4. Step 4: Simplify right side
    654.76x = 340,779.52
  5. Step 5: Solve for x
    x = 340,779.52/654.76
  6. Step 6: Final answer
    x = 520.46

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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.