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Finding the Fourth Proportional to 541.02, 746.97 and 416.46

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Solution

The fourth proportional to 541.02, 746.97 and 416.46 is: 574.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.02 : 746.97 = 416.46 : x
  2. Step 2: Convert to fraction form
    541.02/746.97 = 416.46/x
  3. Step 3: Cross multiply
    541.02x = 746.97 × 416.46
  4. Step 4: Simplify right side
    541.02x = 311,083.13
  5. Step 5: Solve for x
    x = 311,083.13/541.02
  6. Step 6: Final answer
    x = 574.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.