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Finding the Fourth Proportional to 468.95, 646.99 and 303.37

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Solution

The fourth proportional to 468.95, 646.99 and 303.37 is: 418.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.95 : 646.99 = 303.37 : x
  2. Step 2: Convert to fraction form
    468.95/646.99 = 303.37/x
  3. Step 3: Cross multiply
    468.95x = 646.99 × 303.37
  4. Step 4: Simplify right side
    468.95x = 196,274.98
  5. Step 5: Solve for x
    x = 196,274.98/468.95
  6. Step 6: Final answer
    x = 418.55

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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.