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Finding the Fourth Proportional to 674.02, 929.64 and 412.12

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Solution

The fourth proportional to 674.02, 929.64 and 412.12 is: 568.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.02 : 929.64 = 412.12 : x
  2. Step 2: Convert to fraction form
    674.02/929.64 = 412.12/x
  3. Step 3: Cross multiply
    674.02x = 929.64 × 412.12
  4. Step 4: Simplify right side
    674.02x = 383,123.24
  5. Step 5: Solve for x
    x = 383,123.24/674.02
  6. Step 6: Final answer
    x = 568.42

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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.