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Finding the Fourth Proportional to 538.35, 806.77 and 319.02

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Solution

The fourth proportional to 538.35, 806.77 and 319.02 is: 478.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.35 : 806.77 = 319.02 : x
  2. Step 2: Convert to fraction form
    538.35/806.77 = 319.02/x
  3. Step 3: Cross multiply
    538.35x = 806.77 × 319.02
  4. Step 4: Simplify right side
    538.35x = 257,375.77
  5. Step 5: Solve for x
    x = 257,375.77/538.35
  6. Step 6: Final answer
    x = 478.08

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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.