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Finding the Fourth Proportional to 592.14, 887.09 and 360.35

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Solution

The fourth proportional to 592.14, 887.09 and 360.35 is: 539.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.14 : 887.09 = 360.35 : x
  2. Step 2: Convert to fraction form
    592.14/887.09 = 360.35/x
  3. Step 3: Cross multiply
    592.14x = 887.09 × 360.35
  4. Step 4: Simplify right side
    592.14x = 319,659.97
  5. Step 5: Solve for x
    x = 319,659.97/592.14
  6. Step 6: Final answer
    x = 539.84

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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.