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Finding the Fourth Proportional to 592.96, 889.68 and 319.12

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Solution

The fourth proportional to 592.96, 889.68 and 319.12 is: 478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.96 : 889.68 = 319.12 : x
  2. Step 2: Convert to fraction form
    592.96/889.68 = 319.12/x
  3. Step 3: Cross multiply
    592.96x = 889.68 × 319.12
  4. Step 4: Simplify right side
    592.96x = 283,914.68
  5. Step 5: Solve for x
    x = 283,914.68/592.96
  6. Step 6: Final answer
    x = 478.81

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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.