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Finding the Fourth Proportional to 541.96, 812.46 and 414.28

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Solution

The fourth proportional to 541.96, 812.46 and 414.28 is: 621.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.96 : 812.46 = 414.28 : x
  2. Step 2: Convert to fraction form
    541.96/812.46 = 414.28/x
  3. Step 3: Cross multiply
    541.96x = 812.46 × 414.28
  4. Step 4: Simplify right side
    541.96x = 336,585.93
  5. Step 5: Solve for x
    x = 336,585.93/541.96
  6. Step 6: Final answer
    x = 621.05

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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.