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Finding the Fourth Proportional to 674.36, 930.78 and 412.46

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Solution

The fourth proportional to 674.36, 930.78 and 412.46 is: 569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.36 : 930.78 = 412.46 : x
  2. Step 2: Convert to fraction form
    674.36/930.78 = 412.46/x
  3. Step 3: Cross multiply
    674.36x = 930.78 × 412.46
  4. Step 4: Simplify right side
    674.36x = 383,904.86
  5. Step 5: Solve for x
    x = 383,904.86/674.36
  6. Step 6: Final answer
    x = 569.29

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1.5x scale

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.