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Finding the Fourth Proportional to 460.26, 690.48 and 255.06

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Solution

The fourth proportional to 460.26, 690.48 and 255.06 is: 382.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.26 : 690.48 = 255.06 : x
  2. Step 2: Convert to fraction form
    460.26/690.48 = 255.06/x
  3. Step 3: Cross multiply
    460.26x = 690.48 × 255.06
  4. Step 4: Simplify right side
    460.26x = 176,113.83
  5. Step 5: Solve for x
    x = 176,113.83/460.26
  6. Step 6: Final answer
    x = 382.64

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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.