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Finding the Fourth Proportional to 540.62, 745.66 and 400.74

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Solution

The fourth proportional to 540.62, 745.66 and 400.74 is: 552.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.62 : 745.66 = 400.74 : x
  2. Step 2: Convert to fraction form
    540.62/745.66 = 400.74/x
  3. Step 3: Cross multiply
    540.62x = 745.66 × 400.74
  4. Step 4: Simplify right side
    540.62x = 298,815.43
  5. Step 5: Solve for x
    x = 298,815.43/540.62
  6. Step 6: Final answer
    x = 552.73

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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.