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Finding the Fourth Proportional to 466.61, 643.77 and 270.09

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Solution

The fourth proportional to 466.61, 643.77 and 270.09 is: 372.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.61 : 643.77 = 270.09 : x
  2. Step 2: Convert to fraction form
    466.61/643.77 = 270.09/x
  3. Step 3: Cross multiply
    466.61x = 643.77 × 270.09
  4. Step 4: Simplify right side
    466.61x = 173,875.84
  5. Step 5: Solve for x
    x = 173,875.84/466.61
  6. Step 6: Final answer
    x = 372.64

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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.