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Finding the Fourth Proportional to 688.70, 950.40 and 378.20

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Solution

The fourth proportional to 688.70, 950.40 and 378.20 is: 521.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.70 : 950.40 = 378.20 : x
  2. Step 2: Convert to fraction form
    688.70/950.40 = 378.20/x
  3. Step 3: Cross multiply
    688.70x = 950.40 × 378.20
  4. Step 4: Simplify right side
    688.70x = 359,441.28
  5. Step 5: Solve for x
    x = 359,441.28/688.70
  6. Step 6: Final answer
    x = 521.91

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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.