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Finding the Fourth Proportional to 468.13, 646.31 and 418.92

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Solution

The fourth proportional to 468.13, 646.31 and 418.92 is: 578.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.13 : 646.31 = 418.92 : x
  2. Step 2: Convert to fraction form
    468.13/646.31 = 418.92/x
  3. Step 3: Cross multiply
    468.13x = 646.31 × 418.92
  4. Step 4: Simplify right side
    468.13x = 270,748.95
  5. Step 5: Solve for x
    x = 270,748.95/468.13
  6. Step 6: Final answer
    x = 578.37

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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.