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Finding the Fourth Proportional to 668.13, 921.84 and 457.95

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Solution

The fourth proportional to 668.13, 921.84 and 457.95 is: 631.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.13 : 921.84 = 457.95 : x
  2. Step 2: Convert to fraction form
    668.13/921.84 = 457.95/x
  3. Step 3: Cross multiply
    668.13x = 921.84 × 457.95
  4. Step 4: Simplify right side
    668.13x = 422,156.63
  5. Step 5: Solve for x
    x = 422,156.63/668.13
  6. Step 6: Final answer
    x = 631.85

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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.