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Finding the Fourth Proportional to 540.38, 745.77 and 457.38

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Solution

The fourth proportional to 540.38, 745.77 and 457.38 is: 631.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.38 : 745.77 = 457.38 : x
  2. Step 2: Convert to fraction form
    540.38/745.77 = 457.38/x
  3. Step 3: Cross multiply
    540.38x = 745.77 × 457.38
  4. Step 4: Simplify right side
    540.38x = 341,100.28
  5. Step 5: Solve for x
    x = 341,100.28/540.38
  6. Step 6: Final answer
    x = 631.22

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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.