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Finding the Fourth Proportional to 540.39, 745.47 and 422.16

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Solution

The fourth proportional to 540.39, 745.47 and 422.16 is: 582.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.39 : 745.47 = 422.16 : x
  2. Step 2: Convert to fraction form
    540.39/745.47 = 422.16/x
  3. Step 3: Cross multiply
    540.39x = 745.47 × 422.16
  4. Step 4: Simplify right side
    540.39x = 314,707.62
  5. Step 5: Solve for x
    x = 314,707.62/540.39
  6. Step 6: Final answer
    x = 582.37

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1.5x scale

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.