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Finding the Fourth Proportional to 683.16, 1,024.38 and 358.44

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Solution

The fourth proportional to 683.16, 1,024.38 and 358.44 is: 537.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.16 : 1,024.38 = 358.44 : x
  2. Step 2: Convert to fraction form
    683.16/1,024.38 = 358.44/x
  3. Step 3: Cross multiply
    683.16x = 1,024.38 × 358.44
  4. Step 4: Simplify right side
    683.16x = 367,178.77
  5. Step 5: Solve for x
    x = 367,178.77/683.16
  6. Step 6: Final answer
    x = 537.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.