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Finding the Fourth Proportional to 468.79, 646.80 and 291.71

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Solution

The fourth proportional to 468.79, 646.80 and 291.71 is: 402.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.79 : 646.80 = 291.71 : x
  2. Step 2: Convert to fraction form
    468.79/646.80 = 291.71/x
  3. Step 3: Cross multiply
    468.79x = 646.80 × 291.71
  4. Step 4: Simplify right side
    468.79x = 188,678.03
  5. Step 5: Solve for x
    x = 188,678.03/468.79
  6. Step 6: Final answer
    x = 402.48

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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.