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Finding the Fourth Proportional to 637.26, 879.64 and 401.60

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Solution

The fourth proportional to 637.26, 879.64 and 401.60 is: 554.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.26 : 879.64 = 401.60 : x
  2. Step 2: Convert to fraction form
    637.26/879.64 = 401.60/x
  3. Step 3: Cross multiply
    637.26x = 879.64 × 401.60
  4. Step 4: Simplify right side
    637.26x = 353,263.62
  5. Step 5: Solve for x
    x = 353,263.62/637.26
  6. Step 6: Final answer
    x = 554.35

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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.