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Finding the Fourth Proportional to 592.31, 888.47 and 207.56

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Solution

The fourth proportional to 592.31, 888.47 and 207.56 is: 311.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.31 : 888.47 = 207.56 : x
  2. Step 2: Convert to fraction form
    592.31/888.47 = 207.56/x
  3. Step 3: Cross multiply
    592.31x = 888.47 × 207.56
  4. Step 4: Simplify right side
    592.31x = 184,412.79
  5. Step 5: Solve for x
    x = 184,412.79/592.31
  6. Step 6: Final answer
    x = 311.34

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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.