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Finding the Fourth Proportional to 541.75, 747.52 and 320.65

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Solution

The fourth proportional to 541.75, 747.52 and 320.65 is: 442.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.75 : 747.52 = 320.65 : x
  2. Step 2: Convert to fraction form
    541.75/747.52 = 320.65/x
  3. Step 3: Cross multiply
    541.75x = 747.52 × 320.65
  4. Step 4: Simplify right side
    541.75x = 239,692.29
  5. Step 5: Solve for x
    x = 239,692.29/541.75
  6. Step 6: Final answer
    x = 442.44

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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.