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Finding the Fourth Proportional to 688.92, 950.71 and 378.42

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Solution

The fourth proportional to 688.92, 950.71 and 378.42 is: 522.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.92 : 950.71 = 378.42 : x
  2. Step 2: Convert to fraction form
    688.92/950.71 = 378.42/x
  3. Step 3: Cross multiply
    688.92x = 950.71 × 378.42
  4. Step 4: Simplify right side
    688.92x = 359,770.29
  5. Step 5: Solve for x
    x = 359,770.29/688.92
  6. Step 6: Final answer
    x = 522.22

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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.