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Finding the Fourth Proportional to 682.58, 1,023.96 and 358.04

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Solution

The fourth proportional to 682.58, 1,023.96 and 358.04 is: 537.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.58 : 1,023.96 = 358.04 : x
  2. Step 2: Convert to fraction form
    682.58/1,023.96 = 358.04/x
  3. Step 3: Cross multiply
    682.58x = 1,023.96 × 358.04
  4. Step 4: Simplify right side
    682.58x = 366,618.64
  5. Step 5: Solve for x
    x = 366,618.64/682.58
  6. Step 6: Final answer
    x = 537.11

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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.