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Finding the Fourth Proportional to 468.92, 646.98 and 291.80

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Solution

The fourth proportional to 468.92, 646.98 and 291.80 is: 402.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.92 : 646.98 = 291.80 : x
  2. Step 2: Convert to fraction form
    468.92/646.98 = 291.80/x
  3. Step 3: Cross multiply
    468.92x = 646.98 × 291.80
  4. Step 4: Simplify right side
    468.92x = 188,785.53
  5. Step 5: Solve for x
    x = 188,785.53/468.92
  6. Step 6: Final answer
    x = 402.60

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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.