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Finding the Fourth Proportional to 592.80, 889.07 and 300.11

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Solution

The fourth proportional to 592.80, 889.07 and 300.11 is: 450.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.80 : 889.07 = 300.11 : x
  2. Step 2: Convert to fraction form
    592.80/889.07 = 300.11/x
  3. Step 3: Cross multiply
    592.80x = 889.07 × 300.11
  4. Step 4: Simplify right side
    592.80x = 266,821.82
  5. Step 5: Solve for x
    x = 266,821.82/592.80
  6. Step 6: Final answer
    x = 450.11

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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.