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Finding the Fourth Proportional to 597.98, 896.33 and 207.77

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Solution

The fourth proportional to 597.98, 896.33 and 207.77 is: 311.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.98 : 896.33 = 207.77 : x
  2. Step 2: Convert to fraction form
    597.98/896.33 = 207.77/x
  3. Step 3: Cross multiply
    597.98x = 896.33 × 207.77
  4. Step 4: Simplify right side
    597.98x = 186,226.52
  5. Step 5: Solve for x
    x = 186,226.52/597.98
  6. Step 6: Final answer
    x = 311.42

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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.