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Finding the Fourth Proportional to 691.07, 953.67 and 376.33

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Solution

The fourth proportional to 691.07, 953.67 and 376.33 is: 519.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.07 : 953.67 = 376.33 : x
  2. Step 2: Convert to fraction form
    691.07/953.67 = 376.33/x
  3. Step 3: Cross multiply
    691.07x = 953.67 × 376.33
  4. Step 4: Simplify right side
    691.07x = 358,895.57
  5. Step 5: Solve for x
    x = 358,895.57/691.07
  6. Step 6: Final answer
    x = 519.34

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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.