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Finding the Fourth Proportional to 593.28, 889.94 and 228.10

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Solution

The fourth proportional to 593.28, 889.94 and 228.10 is: 342.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.28 : 889.94 = 228.10 : x
  2. Step 2: Convert to fraction form
    593.28/889.94 = 228.10/x
  3. Step 3: Cross multiply
    593.28x = 889.94 × 228.10
  4. Step 4: Simplify right side
    593.28x = 202,995.31
  5. Step 5: Solve for x
    x = 202,995.31/593.28
  6. Step 6: Final answer
    x = 342.16

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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.