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Finding the Fourth Proportional to 466.49, 643.79 and 256.68

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Solution

The fourth proportional to 466.49, 643.79 and 256.68 is: 354.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.49 : 643.79 = 256.68 : x
  2. Step 2: Convert to fraction form
    466.49/643.79 = 256.68/x
  3. Step 3: Cross multiply
    466.49x = 643.79 × 256.68
  4. Step 4: Simplify right side
    466.49x = 165,248.66
  5. Step 5: Solve for x
    x = 165,248.66/466.49
  6. Step 6: Final answer
    x = 354.24

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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.