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Finding the Fourth Proportional to 505.95, 754.99 and 454.24

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Solution

The fourth proportional to 505.95, 754.99 and 454.24 is: 677.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.95 : 754.99 = 454.24 : x
  2. Step 2: Convert to fraction form
    505.95/754.99 = 454.24/x
  3. Step 3: Cross multiply
    505.95x = 754.99 × 454.24
  4. Step 4: Simplify right side
    505.95x = 342,946.47
  5. Step 5: Solve for x
    x = 342,946.47/505.95
  6. Step 6: Final answer
    x = 677.83

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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.