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Finding the Fourth Proportional to 466.24, 643.46 and 259.24

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Solution

The fourth proportional to 466.24, 643.46 and 259.24 is: 357.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.24 : 643.46 = 259.24 : x
  2. Step 2: Convert to fraction form
    466.24/643.46 = 259.24/x
  3. Step 3: Cross multiply
    466.24x = 643.46 × 259.24
  4. Step 4: Simplify right side
    466.24x = 166,810.57
  5. Step 5: Solve for x
    x = 166,810.57/466.24
  6. Step 6: Final answer
    x = 357.78

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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.