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Finding the Fourth Proportional to 541.59, 747.30 and 320.49

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Solution

The fourth proportional to 541.59, 747.30 and 320.49 is: 442.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.59 : 747.30 = 320.49 : x
  2. Step 2: Convert to fraction form
    541.59/747.30 = 320.49/x
  3. Step 3: Cross multiply
    541.59x = 747.30 × 320.49
  4. Step 4: Simplify right side
    541.59x = 239,502.48
  5. Step 5: Solve for x
    x = 239,502.48/541.59
  6. Step 6: Final answer
    x = 442.22

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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.