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Finding the Fourth Proportional to 691.14, 953.75 and 376.41

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Solution

The fourth proportional to 691.14, 953.75 and 376.41 is: 519.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.14 : 953.75 = 376.41 : x
  2. Step 2: Convert to fraction form
    691.14/953.75 = 376.41/x
  3. Step 3: Cross multiply
    691.14x = 953.75 × 376.41
  4. Step 4: Simplify right side
    691.14x = 358,997.21
  5. Step 5: Solve for x
    x = 358,997.21/691.14
  6. Step 6: Final answer
    x = 519.43

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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.