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Finding the Fourth Proportional to 541.83, 812.76 and 464.31

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Solution

The fourth proportional to 541.83, 812.76 and 464.31 is: 696.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.83 : 812.76 = 464.31 : x
  2. Step 2: Convert to fraction form
    541.83/812.76 = 464.31/x
  3. Step 3: Cross multiply
    541.83x = 812.76 × 464.31
  4. Step 4: Simplify right side
    541.83x = 377,372.60
  5. Step 5: Solve for x
    x = 377,372.60/541.83
  6. Step 6: Final answer
    x = 696.48

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Why These Related Problems?

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