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Finding the Fourth Proportional to 455.13, 677.93 and 451.89

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Solution

The fourth proportional to 455.13, 677.93 and 451.89 is: 673.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.13 : 677.93 = 451.89 : x
  2. Step 2: Convert to fraction form
    455.13/677.93 = 451.89/x
  3. Step 3: Cross multiply
    455.13x = 677.93 × 451.89
  4. Step 4: Simplify right side
    455.13x = 306,347.53
  5. Step 5: Solve for x
    x = 306,347.53/455.13
  6. Step 6: Final answer
    x = 673.10

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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.