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Finding the Fourth Proportional to 456.57, 684.90 and 200.07

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Solution

The fourth proportional to 456.57, 684.90 and 200.07 is: 300.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.57 : 684.90 = 200.07 : x
  2. Step 2: Convert to fraction form
    456.57/684.90 = 200.07/x
  3. Step 3: Cross multiply
    456.57x = 684.90 × 200.07
  4. Step 4: Simplify right side
    456.57x = 137,027.94
  5. Step 5: Solve for x
    x = 137,027.94/456.57
  6. Step 6: Final answer
    x = 300.12

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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.