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Finding the Fourth Proportional to 583.82, 876.30 and 482.14

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Solution

The fourth proportional to 583.82, 876.30 and 482.14 is: 723.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.82 : 876.30 = 482.14 : x
  2. Step 2: Convert to fraction form
    583.82/876.30 = 482.14/x
  3. Step 3: Cross multiply
    583.82x = 876.30 × 482.14
  4. Step 4: Simplify right side
    583.82x = 422,499.28
  5. Step 5: Solve for x
    x = 422,499.28/583.82
  6. Step 6: Final answer
    x = 723.68

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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.