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Finding the Fourth Proportional to 460.84, 690.72 and 255.36

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Solution

The fourth proportional to 460.84, 690.72 and 255.36 is: 382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.84 : 690.72 = 255.36 : x
  2. Step 2: Convert to fraction form
    460.84/690.72 = 255.36/x
  3. Step 3: Cross multiply
    460.84x = 690.72 × 255.36
  4. Step 4: Simplify right side
    460.84x = 176,382.26
  5. Step 5: Solve for x
    x = 176,382.26/460.84
  6. Step 6: Final answer
    x = 382.74

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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.