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Finding the Fourth Proportional to 593.28, 889.56 and 284.88

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Solution

The fourth proportional to 593.28, 889.56 and 284.88 is: 427.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.28 : 889.56 = 284.88 : x
  2. Step 2: Convert to fraction form
    593.28/889.56 = 284.88/x
  3. Step 3: Cross multiply
    593.28x = 889.56 × 284.88
  4. Step 4: Simplify right side
    593.28x = 253,417.85
  5. Step 5: Solve for x
    x = 253,417.85/593.28
  6. Step 6: Final answer
    x = 427.15

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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.