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Finding the Fourth Proportional to 465.06, 697.60 and 248.20

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Solution

The fourth proportional to 465.06, 697.60 and 248.20 is: 372.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.06 : 697.60 = 248.20 : x
  2. Step 2: Convert to fraction form
    465.06/697.60 = 248.20/x
  3. Step 3: Cross multiply
    465.06x = 697.60 × 248.20
  4. Step 4: Simplify right side
    465.06x = 173,144.32
  5. Step 5: Solve for x
    x = 173,144.32/465.06
  6. Step 6: Final answer
    x = 372.31

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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.