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Finding the Fourth Proportional to 466.43, 643.66 and 256.62

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Solution

The fourth proportional to 466.43, 643.66 and 256.62 is: 354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.43 : 643.66 = 256.62 : x
  2. Step 2: Convert to fraction form
    466.43/643.66 = 256.62/x
  3. Step 3: Cross multiply
    466.43x = 643.66 × 256.62
  4. Step 4: Simplify right side
    466.43x = 165,174.74
  5. Step 5: Solve for x
    x = 165,174.74/466.43
  6. Step 6: Final answer
    x = 354.13

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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.