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Finding the Fourth Proportional to 460.56, 690.72 and 204.24

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Solution

The fourth proportional to 460.56, 690.72 and 204.24 is: 306.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.56 : 690.72 = 204.24 : x
  2. Step 2: Convert to fraction form
    460.56/690.72 = 204.24/x
  3. Step 3: Cross multiply
    460.56x = 690.72 × 204.24
  4. Step 4: Simplify right side
    460.56x = 141,072.65
  5. Step 5: Solve for x
    x = 141,072.65/460.56
  6. Step 6: Final answer
    x = 306.31

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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.