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Finding the Fourth Proportional to 541.67, 745.93 and 470.75

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Solution

The fourth proportional to 541.67, 745.93 and 470.75 is: 648.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.67 : 745.93 = 470.75 : x
  2. Step 2: Convert to fraction form
    541.67/745.93 = 470.75/x
  3. Step 3: Cross multiply
    541.67x = 745.93 × 470.75
  4. Step 4: Simplify right side
    541.67x = 351,144.29
  5. Step 5: Solve for x
    x = 351,144.29/541.67
  6. Step 6: Final answer
    x = 648.26

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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.