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Finding the Fourth Proportional to 691.09, 953.69 and 396.35

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Solution

The fourth proportional to 691.09, 953.69 and 396.35 is: 546.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.09 : 953.69 = 396.35 : x
  2. Step 2: Convert to fraction form
    691.09/953.69 = 396.35/x
  3. Step 3: Cross multiply
    691.09x = 953.69 × 396.35
  4. Step 4: Simplify right side
    691.09x = 377,998.41
  5. Step 5: Solve for x
    x = 377,998.41/691.09
  6. Step 6: Final answer
    x = 546.96

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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.