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Finding the Fourth Proportional to 674.29, 930.54 and 412.30

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Solution

The fourth proportional to 674.29, 930.54 and 412.30 is: 568.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.29 : 930.54 = 412.30 : x
  2. Step 2: Convert to fraction form
    674.29/930.54 = 412.30/x
  3. Step 3: Cross multiply
    674.29x = 930.54 × 412.30
  4. Step 4: Simplify right side
    674.29x = 383,661.64
  5. Step 5: Solve for x
    x = 383,661.64/674.29
  6. Step 6: Final answer
    x = 568.99

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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.