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Finding the Fourth Proportional to 333.71, 459.74 and 300.95

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Solution

The fourth proportional to 333.71, 459.74 and 300.95 is: 414.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.71 : 459.74 = 300.95 : x
  2. Step 2: Convert to fraction form
    333.71/459.74 = 300.95/x
  3. Step 3: Cross multiply
    333.71x = 459.74 × 300.95
  4. Step 4: Simplify right side
    333.71x = 138,357.25
  5. Step 5: Solve for x
    x = 138,357.25/333.71
  6. Step 6: Final answer
    x = 414.60

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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.