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Finding the Fourth Proportional to 333.42, 499.45 and 305.42

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Solution

The fourth proportional to 333.42, 499.45 and 305.42 is: 457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.42 : 499.45 = 305.42 : x
  2. Step 2: Convert to fraction form
    333.42/499.45 = 305.42/x
  3. Step 3: Cross multiply
    333.42x = 499.45 × 305.42
  4. Step 4: Simplify right side
    333.42x = 152,542.02
  5. Step 5: Solve for x
    x = 152,542.02/333.42
  6. Step 6: Final answer
    x = 457.51

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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.