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Finding the Fourth Proportional to 466.35, 643.56 and 256.52

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Solution

The fourth proportional to 466.35, 643.56 and 256.52 is: 353.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.35 : 643.56 = 256.52 : x
  2. Step 2: Convert to fraction form
    466.35/643.56 = 256.52/x
  3. Step 3: Cross multiply
    466.35x = 643.56 × 256.52
  4. Step 4: Simplify right side
    466.35x = 165,082.79
  5. Step 5: Solve for x
    x = 165,082.79/466.35
  6. Step 6: Final answer
    x = 353.99

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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.