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Finding the Fourth Proportional to 674.92, 931.36 and 380.20

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Solution

The fourth proportional to 674.92, 931.36 and 380.20 is: 524.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.92 : 931.36 = 380.20 : x
  2. Step 2: Convert to fraction form
    674.92/931.36 = 380.20/x
  3. Step 3: Cross multiply
    674.92x = 931.36 × 380.20
  4. Step 4: Simplify right side
    674.92x = 354,103.07
  5. Step 5: Solve for x
    x = 354,103.07/674.92
  6. Step 6: Final answer
    x = 524.66

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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.