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Finding the Fourth Proportional to 333.97, 499.98 and 306.23

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Solution

The fourth proportional to 333.97, 499.98 and 306.23 is: 458.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.97 : 499.98 = 306.23 : x
  2. Step 2: Convert to fraction form
    333.97/499.98 = 306.23/x
  3. Step 3: Cross multiply
    333.97x = 499.98 × 306.23
  4. Step 4: Simplify right side
    333.97x = 153,106.38
  5. Step 5: Solve for x
    x = 153,106.38/333.97
  6. Step 6: Final answer
    x = 458.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.