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Finding the Fourth Proportional to 398.42, 597.63 and 192.88

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Solution

The fourth proportional to 398.42, 597.63 and 192.88 is: 289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.42 : 597.63 = 192.88 : x
  2. Step 2: Convert to fraction form
    398.42/597.63 = 192.88/x
  3. Step 3: Cross multiply
    398.42x = 597.63 × 192.88
  4. Step 4: Simplify right side
    398.42x = 115,271.26
  5. Step 5: Solve for x
    x = 115,271.26/398.42
  6. Step 6: Final answer
    x = 289.32

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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.