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Finding the Fourth Proportional to 465, 697.74 and 233.82

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Solution

The fourth proportional to 465, 697.74 and 233.82 is: 350.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    465 : 697.74 = 233.82 : x
  2. Step 2: Convert to fraction form
    465/697.74 = 233.82/x
  3. Step 3: Cross multiply
    465x = 697.74 × 233.82
  4. Step 4: Simplify right side
    465x = 163,145.57
  5. Step 5: Solve for x
    x = 163,145.57/465
  6. Step 6: Final answer
    x = 350.85

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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.