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Finding the Fourth Proportional to 688.90, 950.66 and 374.14

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Solution

The fourth proportional to 688.90, 950.66 and 374.14 is: 516.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.90 : 950.66 = 374.14 : x
  2. Step 2: Convert to fraction form
    688.90/950.66 = 374.14/x
  3. Step 3: Cross multiply
    688.90x = 950.66 × 374.14
  4. Step 4: Simplify right side
    688.90x = 355,679.93
  5. Step 5: Solve for x
    x = 355,679.93/688.90
  6. Step 6: Final answer
    x = 516.30

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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.