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Finding the Fourth Proportional to 593.14, 889.46 and 284.92

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Solution

The fourth proportional to 593.14, 889.46 and 284.92 is: 427.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.14 : 889.46 = 284.92 : x
  2. Step 2: Convert to fraction form
    593.14/889.46 = 284.92/x
  3. Step 3: Cross multiply
    593.14x = 889.46 × 284.92
  4. Step 4: Simplify right side
    593.14x = 253,419.07
  5. Step 5: Solve for x
    x = 253,419.07/593.14
  6. Step 6: Final answer
    x = 427.25

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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.