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Finding the Fourth Proportional to 465.07, 697.74 and 191.38

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Solution

The fourth proportional to 465.07, 697.74 and 191.38 is: 287.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.07 : 697.74 = 191.38 : x
  2. Step 2: Convert to fraction form
    465.07/697.74 = 191.38/x
  3. Step 3: Cross multiply
    465.07x = 697.74 × 191.38
  4. Step 4: Simplify right side
    465.07x = 133,533.48
  5. Step 5: Solve for x
    x = 133,533.48/465.07
  6. Step 6: Final answer
    x = 287.13

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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.