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Finding the Fourth Proportional to 460.21, 689.93 and 200.02

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Solution

The fourth proportional to 460.21, 689.93 and 200.02 is: 299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.21 : 689.93 = 200.02 : x
  2. Step 2: Convert to fraction form
    460.21/689.93 = 200.02/x
  3. Step 3: Cross multiply
    460.21x = 689.93 × 200.02
  4. Step 4: Simplify right side
    460.21x = 137,995.35
  5. Step 5: Solve for x
    x = 137,995.35/460.21
  6. Step 6: Final answer
    x = 299.85

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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.