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Finding the Fourth Proportional to 540.47, 745.83 and 319.41

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Solution

The fourth proportional to 540.47, 745.83 and 319.41 is: 440.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.47 : 745.83 = 319.41 : x
  2. Step 2: Convert to fraction form
    540.47/745.83 = 319.41/x
  3. Step 3: Cross multiply
    540.47x = 745.83 × 319.41
  4. Step 4: Simplify right side
    540.47x = 238,225.56
  5. Step 5: Solve for x
    x = 238,225.56/540.47
  6. Step 6: Final answer
    x = 440.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.