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Finding the Fourth Proportional to 397.99, 597.10 and 192.52

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Solution

The fourth proportional to 397.99, 597.10 and 192.52 is: 288.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.99 : 597.10 = 192.52 : x
  2. Step 2: Convert to fraction form
    397.99/597.10 = 192.52/x
  3. Step 3: Cross multiply
    397.99x = 597.10 × 192.52
  4. Step 4: Simplify right side
    397.99x = 114,953.69
  5. Step 5: Solve for x
    x = 114,953.69/397.99
  6. Step 6: Final answer
    x = 288.84

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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.