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Finding the Fourth Proportional to 592.92, 889.49 and 319.08

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Solution

The fourth proportional to 592.92, 889.49 and 319.08 is: 478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.92 : 889.49 = 319.08 : x
  2. Step 2: Convert to fraction form
    592.92/889.49 = 319.08/x
  3. Step 3: Cross multiply
    592.92x = 889.49 × 319.08
  4. Step 4: Simplify right side
    592.92x = 283,818.47
  5. Step 5: Solve for x
    x = 283,818.47/592.92
  6. Step 6: Final answer
    x = 478.68

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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.