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Finding the Fourth Proportional to 465.57, 697.60 and 246.19

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Solution

The fourth proportional to 465.57, 697.60 and 246.19 is: 368.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.57 : 697.60 = 246.19 : x
  2. Step 2: Convert to fraction form
    465.57/697.60 = 246.19/x
  3. Step 3: Cross multiply
    465.57x = 697.60 × 246.19
  4. Step 4: Simplify right side
    465.57x = 171,738.66
  5. Step 5: Solve for x
    x = 171,738.66/465.57
  6. Step 6: Final answer
    x = 368.88

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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.