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Finding the Fourth Proportional to 541.98, 741.29 and 533.48

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Solution

The fourth proportional to 541.98, 741.29 and 533.48 is: 729.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.98 : 741.29 = 533.48 : x
  2. Step 2: Convert to fraction form
    541.98/741.29 = 533.48/x
  3. Step 3: Cross multiply
    541.98x = 741.29 × 533.48
  4. Step 4: Simplify right side
    541.98x = 395,457.02
  5. Step 5: Solve for x
    x = 395,457.02/541.98
  6. Step 6: Final answer
    x = 729.65

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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.