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Finding the Fourth Proportional to 465.76, 697 and 343.72

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Solution

The fourth proportional to 465.76, 697 and 343.72 is: 514.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.76 : 697 = 343.72 : x
  2. Step 2: Convert to fraction form
    465.76/697 = 343.72/x
  3. Step 3: Cross multiply
    465.76x = 697 × 343.72
  4. Step 4: Simplify right side
    465.76x = 239,572.84
  5. Step 5: Solve for x
    x = 239,572.84/465.76
  6. Step 6: Final answer
    x = 514.37

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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.