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Finding the Fourth Proportional to 354.30, 533.16 and 320.72

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Solution

The fourth proportional to 354.30, 533.16 and 320.72 is: 482.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.30 : 533.16 = 320.72 : x
  2. Step 2: Convert to fraction form
    354.30/533.16 = 320.72/x
  3. Step 3: Cross multiply
    354.30x = 533.16 × 320.72
  4. Step 4: Simplify right side
    354.30x = 170,995.08
  5. Step 5: Solve for x
    x = 170,995.08/354.30
  6. Step 6: Final answer
    x = 482.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.