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Finding the Fourth Proportional to 673.76, 929.80 and 394.17

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Solution

The fourth proportional to 673.76, 929.80 and 394.17 is: 543.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.76 : 929.80 = 394.17 : x
  2. Step 2: Convert to fraction form
    673.76/929.80 = 394.17/x
  3. Step 3: Cross multiply
    673.76x = 929.80 × 394.17
  4. Step 4: Simplify right side
    673.76x = 366,499.27
  5. Step 5: Solve for x
    x = 366,499.27/673.76
  6. Step 6: Final answer
    x = 543.96

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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.