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Finding the Fourth Proportional to 457.04, 685.68 and 200.48

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Solution

The fourth proportional to 457.04, 685.68 and 200.48 is: 300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.04 : 685.68 = 200.48 : x
  2. Step 2: Convert to fraction form
    457.04/685.68 = 200.48/x
  3. Step 3: Cross multiply
    457.04x = 685.68 × 200.48
  4. Step 4: Simplify right side
    457.04x = 137,465.13
  5. Step 5: Solve for x
    x = 137,465.13/457.04
  6. Step 6: Final answer
    x = 300.77

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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.