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Finding the Fourth Proportional to 674.16, 930.12 and 412.16

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Solution

The fourth proportional to 674.16, 930.12 and 412.16 is: 568.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.16 : 930.12 = 412.16 : x
  2. Step 2: Convert to fraction form
    674.16/930.12 = 412.16/x
  3. Step 3: Cross multiply
    674.16x = 930.12 × 412.16
  4. Step 4: Simplify right side
    674.16x = 383,358.26
  5. Step 5: Solve for x
    x = 383,358.26/674.16
  6. Step 6: Final answer
    x = 568.65

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Why These Related Problems?

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