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Finding the Fourth Proportional to 674.71, 931.17 and 412.90

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Solution

The fourth proportional to 674.71, 931.17 and 412.90 is: 569.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.71 : 931.17 = 412.90 : x
  2. Step 2: Convert to fraction form
    674.71/931.17 = 412.90/x
  3. Step 3: Cross multiply
    674.71x = 931.17 × 412.90
  4. Step 4: Simplify right side
    674.71x = 384,480.09
  5. Step 5: Solve for x
    x = 384,480.09/674.71
  6. Step 6: Final answer
    x = 569.84

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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.