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Finding the Fourth Proportional to 592.41, 889.02 and 207.66

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Solution

The fourth proportional to 592.41, 889.02 and 207.66 is: 311.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.41 : 889.02 = 207.66 : x
  2. Step 2: Convert to fraction form
    592.41/889.02 = 207.66/x
  3. Step 3: Cross multiply
    592.41x = 889.02 × 207.66
  4. Step 4: Simplify right side
    592.41x = 184,613.89
  5. Step 5: Solve for x
    x = 184,613.89/592.41
  6. Step 6: Final answer
    x = 311.63

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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.