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Finding the Fourth Proportional to 540.48, 745.85 and 301.21

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Solution

The fourth proportional to 540.48, 745.85 and 301.21 is: 415.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.48 : 745.85 = 301.21 : x
  2. Step 2: Convert to fraction form
    540.48/745.85 = 301.21/x
  3. Step 3: Cross multiply
    540.48x = 745.85 × 301.21
  4. Step 4: Simplify right side
    540.48x = 224,653.75
  5. Step 5: Solve for x
    x = 224,653.75/540.48
  6. Step 6: Final answer
    x = 415.66

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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.