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Finding the Fourth Proportional to 465.84, 697.83 and 319.56

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Solution

The fourth proportional to 465.84, 697.83 and 319.56 is: 478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.84 : 697.83 = 319.56 : x
  2. Step 2: Convert to fraction form
    465.84/697.83 = 319.56/x
  3. Step 3: Cross multiply
    465.84x = 697.83 × 319.56
  4. Step 4: Simplify right side
    465.84x = 222,998.55
  5. Step 5: Solve for x
    x = 222,998.55/465.84
  6. Step 6: Final answer
    x = 478.70

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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.