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Finding the Fourth Proportional to 691.23, 953.89 and 376.51

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Solution

The fourth proportional to 691.23, 953.89 and 376.51 is: 519.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.23 : 953.89 = 376.51 : x
  2. Step 2: Convert to fraction form
    691.23/953.89 = 376.51/x
  3. Step 3: Cross multiply
    691.23x = 953.89 × 376.51
  4. Step 4: Simplify right side
    691.23x = 359,149.12
  5. Step 5: Solve for x
    x = 359,149.12/691.23
  6. Step 6: Final answer
    x = 519.58

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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.