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Finding the Fourth Proportional to 455.94, 678.96 and 451.08

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Solution

The fourth proportional to 455.94, 678.96 and 451.08 is: 671.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.94 : 678.96 = 451.08 : x
  2. Step 2: Convert to fraction form
    455.94/678.96 = 451.08/x
  3. Step 3: Cross multiply
    455.94x = 678.96 × 451.08
  4. Step 4: Simplify right side
    455.94x = 306,265.28
  5. Step 5: Solve for x
    x = 306,265.28/455.94
  6. Step 6: Final answer
    x = 671.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.