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Finding the Fourth Proportional to 456.68, 684.84 and 200

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Solution

The fourth proportional to 456.68, 684.84 and 200 is: 299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.68 : 684.84 = 200 : x
  2. Step 2: Convert to fraction form
    456.68/684.84 = 200/x
  3. Step 3: Cross multiply
    456.68x = 684.84 × 200
  4. Step 4: Simplify right side
    456.68x = 136,968
  5. Step 5: Solve for x
    x = 136,968/456.68
  6. Step 6: Final answer
    x = 299.92

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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.