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Finding the Fourth Proportional to 398.75, 597.71 and 193.35

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Solution

The fourth proportional to 398.75, 597.71 and 193.35 is: 289.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.75 : 597.71 = 193.35 : x
  2. Step 2: Convert to fraction form
    398.75/597.71 = 193.35/x
  3. Step 3: Cross multiply
    398.75x = 597.71 × 193.35
  4. Step 4: Simplify right side
    398.75x = 115,566.26
  5. Step 5: Solve for x
    x = 115,566.26/398.75
  6. Step 6: Final answer
    x = 289.82

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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.