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Finding the Fourth Proportional to 541.62, 747.24 and 320.46

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Solution

The fourth proportional to 541.62, 747.24 and 320.46 is: 442.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.62 : 747.24 = 320.46 : x
  2. Step 2: Convert to fraction form
    541.62/747.24 = 320.46/x
  3. Step 3: Cross multiply
    541.62x = 747.24 × 320.46
  4. Step 4: Simplify right side
    541.62x = 239,460.53
  5. Step 5: Solve for x
    x = 239,460.53/541.62
  6. Step 6: Final answer
    x = 442.12

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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.