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Finding the Fourth Proportional to 541.08, 741.87 and 513.24

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Solution

The fourth proportional to 541.08, 741.87 and 513.24 is: 703.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.08 : 741.87 = 513.24 : x
  2. Step 2: Convert to fraction form
    541.08/741.87 = 513.24/x
  3. Step 3: Cross multiply
    541.08x = 741.87 × 513.24
  4. Step 4: Simplify right side
    541.08x = 380,757.36
  5. Step 5: Solve for x
    x = 380,757.36/541.08
  6. Step 6: Final answer
    x = 703.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.