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Finding the Fourth Proportional to 596, 897.52 and 443.02

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Solution

The fourth proportional to 596, 897.52 and 443.02 is: 667.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    596 : 897.52 = 443.02 : x
  2. Step 2: Convert to fraction form
    596/897.52 = 443.02/x
  3. Step 3: Cross multiply
    596x = 897.52 × 443.02
  4. Step 4: Simplify right side
    596x = 397,619.31
  5. Step 5: Solve for x
    x = 397,619.31/596
  6. Step 6: Final answer
    x = 667.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.