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Finding the Fourth Proportional to 468.79, 649.92 and 457.85

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Solution

The fourth proportional to 468.79, 649.92 and 457.85 is: 634.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.79 : 649.92 = 457.85 : x
  2. Step 2: Convert to fraction form
    468.79/649.92 = 457.85/x
  3. Step 3: Cross multiply
    468.79x = 649.92 × 457.85
  4. Step 4: Simplify right side
    468.79x = 297,569.21
  5. Step 5: Solve for x
    x = 297,569.21/468.79
  6. Step 6: Final answer
    x = 634.76

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.