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Finding the Fourth Proportional to 460.46, 690.54 and 200.45

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Solution

The fourth proportional to 460.46, 690.54 and 200.45 is: 300.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.46 : 690.54 = 200.45 : x
  2. Step 2: Convert to fraction form
    460.46/690.54 = 200.45/x
  3. Step 3: Cross multiply
    460.46x = 690.54 × 200.45
  4. Step 4: Simplify right side
    460.46x = 138,415.29
  5. Step 5: Solve for x
    x = 138,415.29/460.46
  6. Step 6: Final answer
    x = 300.61

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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.