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Finding the Fourth Proportional to 683.53, 1,023.84 and 358.22

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Solution

The fourth proportional to 683.53, 1,023.84 and 358.22 is: 536.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.53 : 1,023.84 = 358.22 : x
  2. Step 2: Convert to fraction form
    683.53/1,023.84 = 358.22/x
  3. Step 3: Cross multiply
    683.53x = 1,023.84 × 358.22
  4. Step 4: Simplify right side
    683.53x = 366,762.52
  5. Step 5: Solve for x
    x = 366,762.52/683.53
  6. Step 6: Final answer
    x = 536.57

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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.