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Finding the Fourth Proportional to 460.44, 690.06 and 200.13

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Solution

The fourth proportional to 460.44, 690.06 and 200.13 is: 299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.44 : 690.06 = 200.13 : x
  2. Step 2: Convert to fraction form
    460.44/690.06 = 200.13/x
  3. Step 3: Cross multiply
    460.44x = 690.06 × 200.13
  4. Step 4: Simplify right side
    460.44x = 138,101.71
  5. Step 5: Solve for x
    x = 138,101.71/460.44
  6. Step 6: Final answer
    x = 299.93

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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.