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Finding the Fourth Proportional to 592.83, 889.25 and 208.08

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Solution

The fourth proportional to 592.83, 889.25 and 208.08 is: 312.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.83 : 889.25 = 208.08 : x
  2. Step 2: Convert to fraction form
    592.83/889.25 = 208.08/x
  3. Step 3: Cross multiply
    592.83x = 889.25 × 208.08
  4. Step 4: Simplify right side
    592.83x = 185,035.14
  5. Step 5: Solve for x
    x = 185,035.14/592.83
  6. Step 6: Final answer
    x = 312.12

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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.