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Finding the Fourth Proportional to 466.71, 699.68 and 193.00

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Solution

The fourth proportional to 466.71, 699.68 and 193.00 is: 289.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.71 : 699.68 = 193.00 : x
  2. Step 2: Convert to fraction form
    466.71/699.68 = 193.00/x
  3. Step 3: Cross multiply
    466.71x = 699.68 × 193.00
  4. Step 4: Simplify right side
    466.71x = 135,036.97
  5. Step 5: Solve for x
    x = 135,036.97/466.71
  6. Step 6: Final answer
    x = 289.34

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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.