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Finding the Fourth Proportional to 451.42, 675.02 and 334.50

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Solution

The fourth proportional to 451.42, 675.02 and 334.50 is: 500.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.42 : 675.02 = 334.50 : x
  2. Step 2: Convert to fraction form
    451.42/675.02 = 334.50/x
  3. Step 3: Cross multiply
    451.42x = 675.02 × 334.50
  4. Step 4: Simplify right side
    451.42x = 225,794.19
  5. Step 5: Solve for x
    x = 225,794.19/451.42
  6. Step 6: Final answer
    x = 500.19

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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.