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Finding the Fourth Proportional to 674.06, 929.41 and 434.46

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Solution

The fourth proportional to 674.06, 929.41 and 434.46 is: 599.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.06 : 929.41 = 434.46 : x
  2. Step 2: Convert to fraction form
    674.06/929.41 = 434.46/x
  3. Step 3: Cross multiply
    674.06x = 929.41 × 434.46
  4. Step 4: Simplify right side
    674.06x = 403,793.87
  5. Step 5: Solve for x
    x = 403,793.87/674.06
  6. Step 6: Final answer
    x = 599.05

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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.