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Finding the Fourth Proportional to 466.38, 643.62 and 256.57

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Solution

The fourth proportional to 466.38, 643.62 and 256.57 is: 354.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.38 : 643.62 = 256.57 : x
  2. Step 2: Convert to fraction form
    466.38/643.62 = 256.57/x
  3. Step 3: Cross multiply
    466.38x = 643.62 × 256.57
  4. Step 4: Simplify right side
    466.38x = 165,133.58
  5. Step 5: Solve for x
    x = 165,133.58/466.38
  6. Step 6: Final answer
    x = 354.08

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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.