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Finding the Fourth Proportional to 466.62, 643.92 and 259.62

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Solution

The fourth proportional to 466.62, 643.92 and 259.62 is: 358.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.62 : 643.92 = 259.62 : x
  2. Step 2: Convert to fraction form
    466.62/643.92 = 259.62/x
  3. Step 3: Cross multiply
    466.62x = 643.92 × 259.62
  4. Step 4: Simplify right side
    466.62x = 167,174.51
  5. Step 5: Solve for x
    x = 167,174.51/466.62
  6. Step 6: Final answer
    x = 358.27

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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.