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Finding the Fourth Proportional to 466.53, 643.77 and 270.05

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Solution

The fourth proportional to 466.53, 643.77 and 270.05 is: 372.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.53 : 643.77 = 270.05 : x
  2. Step 2: Convert to fraction form
    466.53/643.77 = 270.05/x
  3. Step 3: Cross multiply
    466.53x = 643.77 × 270.05
  4. Step 4: Simplify right side
    466.53x = 173,848.74
  5. Step 5: Solve for x
    x = 173,848.74/466.53
  6. Step 6: Final answer
    x = 372.65

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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.