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Finding the Fourth Proportional to 593.27, 889.30 and 284.66

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Solution

The fourth proportional to 593.27, 889.30 and 284.66 is: 426.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.27 : 889.30 = 284.66 : x
  2. Step 2: Convert to fraction form
    593.27/889.30 = 284.66/x
  3. Step 3: Cross multiply
    593.27x = 889.30 × 284.66
  4. Step 4: Simplify right side
    593.27x = 253,146.71
  5. Step 5: Solve for x
    x = 253,146.71/593.27
  6. Step 6: Final answer
    x = 426.70

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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.