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Finding the Fourth Proportional to 538.94, 807.61 and 319.34

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Solution

The fourth proportional to 538.94, 807.61 and 319.34 is: 478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.94 : 807.61 = 319.34 : x
  2. Step 2: Convert to fraction form
    538.94/807.61 = 319.34/x
  3. Step 3: Cross multiply
    538.94x = 807.61 × 319.34
  4. Step 4: Simplify right side
    538.94x = 257,902.18
  5. Step 5: Solve for x
    x = 257,902.18/538.94
  6. Step 6: Final answer
    x = 478.54

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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.