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Finding the Fourth Proportional to 583.31, 875.27 and 377.82

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Solution

The fourth proportional to 583.31, 875.27 and 377.82 is: 566.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.31 : 875.27 = 377.82 : x
  2. Step 2: Convert to fraction form
    583.31/875.27 = 377.82/x
  3. Step 3: Cross multiply
    583.31x = 875.27 × 377.82
  4. Step 4: Simplify right side
    583.31x = 330,692.62
  5. Step 5: Solve for x
    x = 330,692.62/583.31
  6. Step 6: Final answer
    x = 566.93

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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.