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Finding the Fourth Proportional to 460.41, 689.97 and 254.67

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Solution

The fourth proportional to 460.41, 689.97 and 254.67 is: 381.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.41 : 689.97 = 254.67 : x
  2. Step 2: Convert to fraction form
    460.41/689.97 = 254.67/x
  3. Step 3: Cross multiply
    460.41x = 689.97 × 254.67
  4. Step 4: Simplify right side
    460.41x = 175,714.66
  5. Step 5: Solve for x
    x = 175,714.66/460.41
  6. Step 6: Final answer
    x = 381.65

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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.