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Finding the Fourth Proportional to 592.96, 889.48 and 284.94

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Solution

The fourth proportional to 592.96, 889.48 and 284.94 is: 427.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.96 : 889.48 = 284.94 : x
  2. Step 2: Convert to fraction form
    592.96/889.48 = 284.94/x
  3. Step 3: Cross multiply
    592.96x = 889.48 × 284.94
  4. Step 4: Simplify right side
    592.96x = 253,448.43
  5. Step 5: Solve for x
    x = 253,448.43/592.96
  6. Step 6: Final answer
    x = 427.43

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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.