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Finding the Fourth Proportional to 505.53, 698.74 and 446.06

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Solution

The fourth proportional to 505.53, 698.74 and 446.06 is: 616.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.53 : 698.74 = 446.06 : x
  2. Step 2: Convert to fraction form
    505.53/698.74 = 446.06/x
  3. Step 3: Cross multiply
    505.53x = 698.74 × 446.06
  4. Step 4: Simplify right side
    505.53x = 311,680.60
  5. Step 5: Solve for x
    x = 311,680.60/505.53
  6. Step 6: Final answer
    x = 616.54

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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.