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Finding the Fourth Proportional to 534.30, 801.45 and 443.10

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Solution

The fourth proportional to 534.30, 801.45 and 443.10 is: 664.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.30 : 801.45 = 443.10 : x
  2. Step 2: Convert to fraction form
    534.30/801.45 = 443.10/x
  3. Step 3: Cross multiply
    534.30x = 801.45 × 443.10
  4. Step 4: Simplify right side
    534.30x = 355,122.50
  5. Step 5: Solve for x
    x = 355,122.50/534.30
  6. Step 6: Final answer
    x = 664.65

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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.