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Finding the Fourth Proportional to 460.16, 689.91 and 200.02

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Solution

The fourth proportional to 460.16, 689.91 and 200.02 is: 299.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.16 : 689.91 = 200.02 : x
  2. Step 2: Convert to fraction form
    460.16/689.91 = 200.02/x
  3. Step 3: Cross multiply
    460.16x = 689.91 × 200.02
  4. Step 4: Simplify right side
    460.16x = 137,995.80
  5. Step 5: Solve for x
    x = 137,995.80/460.16
  6. Step 6: Final answer
    x = 299.89

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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.