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Finding the Fourth Proportional to 541.69, 747.46 and 320.62

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Solution

The fourth proportional to 541.69, 747.46 and 320.62 is: 442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.69 : 747.46 = 320.62 : x
  2. Step 2: Convert to fraction form
    541.69/747.46 = 320.62/x
  3. Step 3: Cross multiply
    541.69x = 747.46 × 320.62
  4. Step 4: Simplify right side
    541.69x = 239,650.63
  5. Step 5: Solve for x
    x = 239,650.63/541.69
  6. Step 6: Final answer
    x = 442.41

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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.