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Finding the Fourth Proportional to 541.19, 747.04 and 320.22

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Solution

The fourth proportional to 541.19, 747.04 and 320.22 is: 442.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.19 : 747.04 = 320.22 : x
  2. Step 2: Convert to fraction form
    541.19/747.04 = 320.22/x
  3. Step 3: Cross multiply
    541.19x = 747.04 × 320.22
  4. Step 4: Simplify right side
    541.19x = 239,213.41
  5. Step 5: Solve for x
    x = 239,213.41/541.19
  6. Step 6: Final answer
    x = 442.02

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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.