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Finding the Fourth Proportional to 541.40, 747.16 and 320.30

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Solution

The fourth proportional to 541.40, 747.16 and 320.30 is: 442.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.40 : 747.16 = 320.30 : x
  2. Step 2: Convert to fraction form
    541.40/747.16 = 320.30/x
  3. Step 3: Cross multiply
    541.40x = 747.16 × 320.30
  4. Step 4: Simplify right side
    541.40x = 239,315.35
  5. Step 5: Solve for x
    x = 239,315.35/541.40
  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.