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Finding the Fourth Proportional to 466.51, 643.90 and 270.14

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Solution

The fourth proportional to 466.51, 643.90 and 270.14 is: 372.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.51 : 643.90 = 270.14 : x
  2. Step 2: Convert to fraction form
    466.51/643.90 = 270.14/x
  3. Step 3: Cross multiply
    466.51x = 643.90 × 270.14
  4. Step 4: Simplify right side
    466.51x = 173,943.15
  5. Step 5: Solve for x
    x = 173,943.15/466.51
  6. Step 6: Final answer
    x = 372.86

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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.