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Finding the Fourth Proportional to 457.61, 685.98 and 361.04

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Solution

The fourth proportional to 457.61, 685.98 and 361.04 is: 541.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.61 : 685.98 = 361.04 : x
  2. Step 2: Convert to fraction form
    457.61/685.98 = 361.04/x
  3. Step 3: Cross multiply
    457.61x = 685.98 × 361.04
  4. Step 4: Simplify right side
    457.61x = 247,662.79
  5. Step 5: Solve for x
    x = 247,662.79/457.61
  6. Step 6: Final answer
    x = 541.22

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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.