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Finding the Fourth Proportional to 457.36, 685.87 and 360.05

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Solution

The fourth proportional to 457.36, 685.87 and 360.05 is: 539.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.36 : 685.87 = 360.05 : x
  2. Step 2: Convert to fraction form
    457.36/685.87 = 360.05/x
  3. Step 3: Cross multiply
    457.36x = 685.87 × 360.05
  4. Step 4: Simplify right side
    457.36x = 246,947.49
  5. Step 5: Solve for x
    x = 246,947.49/457.36
  6. Step 6: Final answer
    x = 539.94

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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.