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Finding the Fourth Proportional to 592.91, 889.29 and 284.57

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Solution

The fourth proportional to 592.91, 889.29 and 284.57 is: 426.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.91 : 889.29 = 284.57 : x
  2. Step 2: Convert to fraction form
    592.91/889.29 = 284.57/x
  3. Step 3: Cross multiply
    592.91x = 889.29 × 284.57
  4. Step 4: Simplify right side
    592.91x = 253,065.26
  5. Step 5: Solve for x
    x = 253,065.26/592.91
  6. Step 6: Final answer
    x = 426.82

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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.