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Finding the Fourth Proportional to 540.50, 746.00 and 319.59

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Solution

The fourth proportional to 540.50, 746.00 and 319.59 is: 441.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.50 : 746.00 = 319.59 : x
  2. Step 2: Convert to fraction form
    540.50/746.00 = 319.59/x
  3. Step 3: Cross multiply
    540.50x = 746.00 × 319.59
  4. Step 4: Simplify right side
    540.50x = 238,412.54
  5. Step 5: Solve for x
    x = 238,412.54/540.50
  6. Step 6: Final answer
    x = 441.10

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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.