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Finding the Fourth Proportional to 541.49, 752.16 and 533.11

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Solution

The fourth proportional to 541.49, 752.16 and 533.11 is: 740.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.49 : 752.16 = 533.11 : x
  2. Step 2: Convert to fraction form
    541.49/752.16 = 533.11/x
  3. Step 3: Cross multiply
    541.49x = 752.16 × 533.11
  4. Step 4: Simplify right side
    541.49x = 400,984.02
  5. Step 5: Solve for x
    x = 400,984.02/541.49
  6. Step 6: Final answer
    x = 740.52

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.