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Finding the Fourth Proportional to 597.11, 894.88 and 441.79

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Solution

The fourth proportional to 597.11, 894.88 and 441.79 is: 662.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.11 : 894.88 = 441.79 : x
  2. Step 2: Convert to fraction form
    597.11/894.88 = 441.79/x
  3. Step 3: Cross multiply
    597.11x = 894.88 × 441.79
  4. Step 4: Simplify right side
    597.11x = 395,347.35
  5. Step 5: Solve for x
    x = 395,347.35/597.11
  6. Step 6: Final answer
    x = 662.11

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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.