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Finding the Fourth Proportional to 333.26, 496.53 and 314.63

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Solution

The fourth proportional to 333.26, 496.53 and 314.63 is: 468.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.26 : 496.53 = 314.63 : x
  2. Step 2: Convert to fraction form
    333.26/496.53 = 314.63/x
  3. Step 3: Cross multiply
    333.26x = 496.53 × 314.63
  4. Step 4: Simplify right side
    333.26x = 156,220.75
  5. Step 5: Solve for x
    x = 156,220.75/333.26
  6. Step 6: Final answer
    x = 468.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.