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Finding the Fourth Proportional to 673.76, 929.86 and 394.14

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Solution

The fourth proportional to 673.76, 929.86 and 394.14 is: 543.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.76 : 929.86 = 394.14 : x
  2. Step 2: Convert to fraction form
    673.76/929.86 = 394.14/x
  3. Step 3: Cross multiply
    673.76x = 929.86 × 394.14
  4. Step 4: Simplify right side
    673.76x = 366,495.02
  5. Step 5: Solve for x
    x = 366,495.02/673.76
  6. Step 6: Final answer
    x = 543.95

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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.