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Finding the Fourth Proportional to 460.33, 689.94 and 254.98

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Solution

The fourth proportional to 460.33, 689.94 and 254.98 is: 382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.33 : 689.94 = 254.98 : x
  2. Step 2: Convert to fraction form
    460.33/689.94 = 254.98/x
  3. Step 3: Cross multiply
    460.33x = 689.94 × 254.98
  4. Step 4: Simplify right side
    460.33x = 175,920.90
  5. Step 5: Solve for x
    x = 175,920.90/460.33
  6. Step 6: Final answer
    x = 382.16

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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.