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Finding the Fourth Proportional to 466.61, 643.46 and 292.05

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Solution

The fourth proportional to 466.61, 643.46 and 292.05 is: 402.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.61 : 643.46 = 292.05 : x
  2. Step 2: Convert to fraction form
    466.61/643.46 = 292.05/x
  3. Step 3: Cross multiply
    466.61x = 643.46 × 292.05
  4. Step 4: Simplify right side
    466.61x = 187,921.03
  5. Step 5: Solve for x
    x = 187,921.03/466.61
  6. Step 6: Final answer
    x = 402.74

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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.