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Finding the Fourth Proportional to 468.81, 646.67 and 300.69

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Solution

The fourth proportional to 468.81, 646.67 and 300.69 is: 414.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.81 : 646.67 = 300.69 : x
  2. Step 2: Convert to fraction form
    468.81/646.67 = 300.69/x
  3. Step 3: Cross multiply
    468.81x = 646.67 × 300.69
  4. Step 4: Simplify right side
    468.81x = 194,447.95
  5. Step 5: Solve for x
    x = 194,447.95/468.81
  6. Step 6: Final answer
    x = 414.77

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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.