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Finding the Fourth Proportional to 684.35, 944.51 and 538.09

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Solution

The fourth proportional to 684.35, 944.51 and 538.09 is: 742.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.35 : 944.51 = 538.09 : x
  2. Step 2: Convert to fraction form
    684.35/944.51 = 538.09/x
  3. Step 3: Cross multiply
    684.35x = 944.51 × 538.09
  4. Step 4: Simplify right side
    684.35x = 508,234.67
  5. Step 5: Solve for x
    x = 508,234.67/684.35
  6. Step 6: Final answer
    x = 742.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.