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Finding the Fourth Proportional to 468.97, 646.89 and 292.02

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Solution

The fourth proportional to 468.97, 646.89 and 292.02 is: 402.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.97 : 646.89 = 292.02 : x
  2. Step 2: Convert to fraction form
    468.97/646.89 = 292.02/x
  3. Step 3: Cross multiply
    468.97x = 646.89 × 292.02
  4. Step 4: Simplify right side
    468.97x = 188,904.82
  5. Step 5: Solve for x
    x = 188,904.82/468.97
  6. Step 6: Final answer
    x = 402.81

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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.