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Finding the Fourth Proportional to 540.51, 745.60 and 446.71

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Solution

The fourth proportional to 540.51, 745.60 and 446.71 is: 616.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.51 : 745.60 = 446.71 : x
  2. Step 2: Convert to fraction form
    540.51/745.60 = 446.71/x
  3. Step 3: Cross multiply
    540.51x = 745.60 × 446.71
  4. Step 4: Simplify right side
    540.51x = 333,066.98
  5. Step 5: Solve for x
    x = 333,066.98/540.51
  6. Step 6: Final answer
    x = 616.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.