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Finding the Fourth Proportional to 592.47, 889.02 and 227.52

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Solution

The fourth proportional to 592.47, 889.02 and 227.52 is: 341.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.47 : 889.02 = 227.52 : x
  2. Step 2: Convert to fraction form
    592.47/889.02 = 227.52/x
  3. Step 3: Cross multiply
    592.47x = 889.02 × 227.52
  4. Step 4: Simplify right side
    592.47x = 202,269.83
  5. Step 5: Solve for x
    x = 202,269.83/592.47
  6. Step 6: Final answer
    x = 341.40

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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.