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Finding the Fourth Proportional to 593.13, 889.09 and 284.89

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Solution

The fourth proportional to 593.13, 889.09 and 284.89 is: 427.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.13 : 889.09 = 284.89 : x
  2. Step 2: Convert to fraction form
    593.13/889.09 = 284.89/x
  3. Step 3: Cross multiply
    593.13x = 889.09 × 284.89
  4. Step 4: Simplify right side
    593.13x = 253,292.85
  5. Step 5: Solve for x
    x = 253,292.85/593.13
  6. Step 6: Final answer
    x = 427.04

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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.