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Finding the Fourth Proportional to 465.52, 697.72 and 248.80

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Solution

The fourth proportional to 465.52, 697.72 and 248.80 is: 372.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.52 : 697.72 = 248.80 : x
  2. Step 2: Convert to fraction form
    465.52/697.72 = 248.80/x
  3. Step 3: Cross multiply
    465.52x = 697.72 × 248.80
  4. Step 4: Simplify right side
    465.52x = 173,592.74
  5. Step 5: Solve for x
    x = 173,592.74/465.52
  6. Step 6: Final answer
    x = 372.90

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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.