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Finding the Fourth Proportional to 688.74, 950.47 and 378.26

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Solution

The fourth proportional to 688.74, 950.47 and 378.26 is: 522.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.74 : 950.47 = 378.26 : x
  2. Step 2: Convert to fraction form
    688.74/950.47 = 378.26/x
  3. Step 3: Cross multiply
    688.74x = 950.47 × 378.26
  4. Step 4: Simplify right side
    688.74x = 359,524.78
  5. Step 5: Solve for x
    x = 359,524.78/688.74
  6. Step 6: Final answer
    x = 522.00

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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.