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Finding the Fourth Proportional to 592.53, 889.03 and 245.78

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Solution

The fourth proportional to 592.53, 889.03 and 245.78 is: 368.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.53 : 889.03 = 245.78 : x
  2. Step 2: Convert to fraction form
    592.53/889.03 = 245.78/x
  3. Step 3: Cross multiply
    592.53x = 889.03 × 245.78
  4. Step 4: Simplify right side
    592.53x = 218,505.79
  5. Step 5: Solve for x
    x = 218,505.79/592.53
  6. Step 6: Final answer
    x = 368.77

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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.