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Finding the Fourth Proportional to 541.02, 745.92 and 354.21

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Solution

The fourth proportional to 541.02, 745.92 and 354.21 is: 488.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.02 : 745.92 = 354.21 : x
  2. Step 2: Convert to fraction form
    541.02/745.92 = 354.21/x
  3. Step 3: Cross multiply
    541.02x = 745.92 × 354.21
  4. Step 4: Simplify right side
    541.02x = 264,212.32
  5. Step 5: Solve for x
    x = 264,212.32/541.02
  6. Step 6: Final answer
    x = 488.36

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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.