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Finding the Fourth Proportional to 592.96, 889.04 and 208

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Solution

The fourth proportional to 592.96, 889.04 and 208 is: 311.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.96 : 889.04 = 208 : x
  2. Step 2: Convert to fraction form
    592.96/889.04 = 208/x
  3. Step 3: Cross multiply
    592.96x = 889.04 × 208
  4. Step 4: Simplify right side
    592.96x = 184,920.32
  5. Step 5: Solve for x
    x = 184,920.32/592.96
  6. Step 6: Final answer
    x = 311.86

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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.