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Finding the Fourth Proportional to 457.06, 685.35 and 200.50

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Solution

The fourth proportional to 457.06, 685.35 and 200.50 is: 300.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.06 : 685.35 = 200.50 : x
  2. Step 2: Convert to fraction form
    457.06/685.35 = 200.50/x
  3. Step 3: Cross multiply
    457.06x = 685.35 × 200.50
  4. Step 4: Simplify right side
    457.06x = 137,412.68
  5. Step 5: Solve for x
    x = 137,412.68/457.06
  6. Step 6: Final answer
    x = 300.64

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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.