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Finding the Fourth Proportional to 319.21, 440.83 and 264.53

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Solution

The fourth proportional to 319.21, 440.83 and 264.53 is: 365.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.21 : 440.83 = 264.53 : x
  2. Step 2: Convert to fraction form
    319.21/440.83 = 264.53/x
  3. Step 3: Cross multiply
    319.21x = 440.83 × 264.53
  4. Step 4: Simplify right side
    319.21x = 116,612.70
  5. Step 5: Solve for x
    x = 116,612.70/319.21
  6. Step 6: Final answer
    x = 365.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.