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Finding the Fourth Proportional to 592.89, 889.88 and 284.96

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Solution

The fourth proportional to 592.89, 889.88 and 284.96 is: 427.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.89 : 889.88 = 284.96 : x
  2. Step 2: Convert to fraction form
    592.89/889.88 = 284.96/x
  3. Step 3: Cross multiply
    592.89x = 889.88 × 284.96
  4. Step 4: Simplify right side
    592.89x = 253,574.33
  5. Step 5: Solve for x
    x = 253,574.33/592.89
  6. Step 6: Final answer
    x = 427.69

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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.