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Finding the Fourth Proportional to 398.59, 597.01 and 192.72

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Solution

The fourth proportional to 398.59, 597.01 and 192.72 is: 288.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.59 : 597.01 = 192.72 : x
  2. Step 2: Convert to fraction form
    398.59/597.01 = 192.72/x
  3. Step 3: Cross multiply
    398.59x = 597.01 × 192.72
  4. Step 4: Simplify right side
    398.59x = 115,056.01
  5. Step 5: Solve for x
    x = 115,056.01/398.59
  6. Step 6: Final answer
    x = 288.66

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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.