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Finding the Fourth Proportional to 541.57, 747.25 and 320.55

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Solution

The fourth proportional to 541.57, 747.25 and 320.55 is: 442.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.57 : 747.25 = 320.55 : x
  2. Step 2: Convert to fraction form
    541.57/747.25 = 320.55/x
  3. Step 3: Cross multiply
    541.57x = 747.25 × 320.55
  4. Step 4: Simplify right side
    541.57x = 239,530.99
  5. Step 5: Solve for x
    x = 239,530.99/541.57
  6. Step 6: Final answer
    x = 442.29

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