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Finding the Fourth Proportional to 460.89, 690.14 and 255.23

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Solution

The fourth proportional to 460.89, 690.14 and 255.23 is: 382.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.89 : 690.14 = 255.23 : x
  2. Step 2: Convert to fraction form
    460.89/690.14 = 255.23/x
  3. Step 3: Cross multiply
    460.89x = 690.14 × 255.23
  4. Step 4: Simplify right side
    460.89x = 176,139.71
  5. Step 5: Solve for x
    x = 176,139.71/460.89
  6. Step 6: Final answer
    x = 382.17

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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.