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Finding the Fourth Proportional to 466.34, 643.50 and 259.34

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Solution

The fourth proportional to 466.34, 643.50 and 259.34 is: 357.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.34 : 643.50 = 259.34 : x
  2. Step 2: Convert to fraction form
    466.34/643.50 = 259.34/x
  3. Step 3: Cross multiply
    466.34x = 643.50 × 259.34
  4. Step 4: Simplify right side
    466.34x = 166,882.07
  5. Step 5: Solve for x
    x = 166,882.07/466.34
  6. Step 6: Final answer
    x = 357.86

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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.