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Finding the Fourth Proportional to 466.68, 643.92 and 292.26

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Solution

The fourth proportional to 466.68, 643.92 and 292.26 is: 403.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.68 : 643.92 = 292.26 : x
  2. Step 2: Convert to fraction form
    466.68/643.92 = 292.26/x
  3. Step 3: Cross multiply
    466.68x = 643.92 × 292.26
  4. Step 4: Simplify right side
    466.68x = 188,192.06
  5. Step 5: Solve for x
    x = 188,192.06/466.68
  6. Step 6: Final answer
    x = 403.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.