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Finding the Fourth Proportional to 684.46, 1,026.69 and 338.14

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Solution

The fourth proportional to 684.46, 1,026.69 and 338.14 is: 507.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.46 : 1,026.69 = 338.14 : x
  2. Step 2: Convert to fraction form
    684.46/1,026.69 = 338.14/x
  3. Step 3: Cross multiply
    684.46x = 1,026.69 × 338.14
  4. Step 4: Simplify right side
    684.46x = 347,164.96
  5. Step 5: Solve for x
    x = 347,164.96/684.46
  6. Step 6: Final answer
    x = 507.21

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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.