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Finding the Fourth Proportional to 541.50, 747.30 and 320.40

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Solution

The fourth proportional to 541.50, 747.30 and 320.40 is: 442.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.50 : 747.30 = 320.40 : x
  2. Step 2: Convert to fraction form
    541.50/747.30 = 320.40/x
  3. Step 3: Cross multiply
    541.50x = 747.30 × 320.40
  4. Step 4: Simplify right side
    541.50x = 239,434.92
  5. Step 5: Solve for x
    x = 239,434.92/541.50
  6. Step 6: Final answer
    x = 442.17

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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.