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Finding the Fourth Proportional to 592.70, 889.05 and 284.48

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Solution

The fourth proportional to 592.70, 889.05 and 284.48 is: 426.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.70 : 889.05 = 284.48 : x
  2. Step 2: Convert to fraction form
    592.70/889.05 = 284.48/x
  3. Step 3: Cross multiply
    592.70x = 889.05 × 284.48
  4. Step 4: Simplify right side
    592.70x = 252,916.94
  5. Step 5: Solve for x
    x = 252,916.94/592.70
  6. Step 6: Final answer
    x = 426.72

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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.