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Finding the Fourth Proportional to 466.28, 643.18 and 291.59

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Solution

The fourth proportional to 466.28, 643.18 and 291.59 is: 402.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.28 : 643.18 = 291.59 : x
  2. Step 2: Convert to fraction form
    466.28/643.18 = 291.59/x
  3. Step 3: Cross multiply
    466.28x = 643.18 × 291.59
  4. Step 4: Simplify right side
    466.28x = 187,544.86
  5. Step 5: Solve for x
    x = 187,544.86/466.28
  6. Step 6: Final answer
    x = 402.22

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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.