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Finding the Fourth Proportional to 597.02, 894.38 and 533.43

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Solution

The fourth proportional to 597.02, 894.38 and 533.43 is: 799.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.02 : 894.38 = 533.43 : x
  2. Step 2: Convert to fraction form
    597.02/894.38 = 533.43/x
  3. Step 3: Cross multiply
    597.02x = 894.38 × 533.43
  4. Step 4: Simplify right side
    597.02x = 477,086.46
  5. Step 5: Solve for x
    x = 477,086.46/597.02
  6. Step 6: Final answer
    x = 799.12

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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.