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Finding the Fourth Proportional to 592.83, 889.38 and 268.20

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Solution

The fourth proportional to 592.83, 889.38 and 268.20 is: 402.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.83 : 889.38 = 268.20 : x
  2. Step 2: Convert to fraction form
    592.83/889.38 = 268.20/x
  3. Step 3: Cross multiply
    592.83x = 889.38 × 268.20
  4. Step 4: Simplify right side
    592.83x = 238,531.72
  5. Step 5: Solve for x
    x = 238,531.72/592.83
  6. Step 6: Final answer
    x = 402.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.