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Finding the Fourth Proportional to 460.83, 690.17 and 277.82

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Solution

The fourth proportional to 460.83, 690.17 and 277.82 is: 416.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.83 : 690.17 = 277.82 : x
  2. Step 2: Convert to fraction form
    460.83/690.17 = 277.82/x
  3. Step 3: Cross multiply
    460.83x = 690.17 × 277.82
  4. Step 4: Simplify right side
    460.83x = 191,739.58
  5. Step 5: Solve for x
    x = 191,739.58/460.83
  6. Step 6: Final answer
    x = 416.08

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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.