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Finding the Fourth Proportional to 451.99, 677.74 and 155.42

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Solution

The fourth proportional to 451.99, 677.74 and 155.42 is: 233.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.99 : 677.74 = 155.42 : x
  2. Step 2: Convert to fraction form
    451.99/677.74 = 155.42/x
  3. Step 3: Cross multiply
    451.99x = 677.74 × 155.42
  4. Step 4: Simplify right side
    451.99x = 105,334.35
  5. Step 5: Solve for x
    x = 105,334.35/451.99
  6. Step 6: Final answer
    x = 233.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.