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Finding the Fourth Proportional to 457.82, 685.58 and 303.27

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Solution

The fourth proportional to 457.82, 685.58 and 303.27 is: 454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.82 : 685.58 = 303.27 : x
  2. Step 2: Convert to fraction form
    457.82/685.58 = 303.27/x
  3. Step 3: Cross multiply
    457.82x = 685.58 × 303.27
  4. Step 4: Simplify right side
    457.82x = 207,914.33
  5. Step 5: Solve for x
    x = 207,914.33/457.82
  6. Step 6: Final answer
    x = 454.14

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Why These Related Problems?

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