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Finding the Fourth Proportional to 637.09, 955.64 and 462.91

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Solution

The fourth proportional to 637.09, 955.64 and 462.91 is: 694.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.09 : 955.64 = 462.91 : x
  2. Step 2: Convert to fraction form
    637.09/955.64 = 462.91/x
  3. Step 3: Cross multiply
    637.09x = 955.64 × 462.91
  4. Step 4: Simplify right side
    637.09x = 442,375.31
  5. Step 5: Solve for x
    x = 442,375.31/637.09
  6. Step 6: Final answer
    x = 694.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.