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Finding the Fourth Proportional to 466.12, 643.27 and 308.47

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Solution

The fourth proportional to 466.12, 643.27 and 308.47 is: 425.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.12 : 643.27 = 308.47 : x
  2. Step 2: Convert to fraction form
    466.12/643.27 = 308.47/x
  3. Step 3: Cross multiply
    466.12x = 643.27 × 308.47
  4. Step 4: Simplify right side
    466.12x = 198,429.50
  5. Step 5: Solve for x
    x = 198,429.50/466.12
  6. Step 6: Final answer
    x = 425.70

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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.