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Finding the Fourth Proportional to 466.69, 644.03 and 259.69

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Solution

The fourth proportional to 466.69, 644.03 and 259.69 is: 358.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.69 : 644.03 = 259.69 : x
  2. Step 2: Convert to fraction form
    466.69/644.03 = 259.69/x
  3. Step 3: Cross multiply
    466.69x = 644.03 × 259.69
  4. Step 4: Simplify right side
    466.69x = 167,246.22
  5. Step 5: Solve for x
    x = 167,246.22/466.69
  6. Step 6: Final answer
    x = 358.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.