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Finding the Fourth Proportional to 691.37, 954.09 and 396.64

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Solution

The fourth proportional to 691.37, 954.09 and 396.64 is: 547.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.37 : 954.09 = 396.64 : x
  2. Step 2: Convert to fraction form
    691.37/954.09 = 396.64/x
  3. Step 3: Cross multiply
    691.37x = 954.09 × 396.64
  4. Step 4: Simplify right side
    691.37x = 378,430.26
  5. Step 5: Solve for x
    x = 378,430.26/691.37
  6. Step 6: Final answer
    x = 547.36

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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.