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Finding the Fourth Proportional to 541.69, 812.53 and 432.97

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Solution

The fourth proportional to 541.69, 812.53 and 432.97 is: 649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.69 : 812.53 = 432.97 : x
  2. Step 2: Convert to fraction form
    541.69/812.53 = 432.97/x
  3. Step 3: Cross multiply
    541.69x = 812.53 × 432.97
  4. Step 4: Simplify right side
    541.69x = 351,797.05
  5. Step 5: Solve for x
    x = 351,797.05/541.69
  6. Step 6: Final answer
    x = 649.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.