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Finding the Fourth Proportional to 541.38, 747.01 and 320.35

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Solution

The fourth proportional to 541.38, 747.01 and 320.35 is: 442.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.38 : 747.01 = 320.35 : x
  2. Step 2: Convert to fraction form
    541.38/747.01 = 320.35/x
  3. Step 3: Cross multiply
    541.38x = 747.01 × 320.35
  4. Step 4: Simplify right side
    541.38x = 239,304.65
  5. Step 5: Solve for x
    x = 239,304.65/541.38
  6. Step 6: Final answer
    x = 442.03

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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.