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Finding the Fourth Proportional to 301.02, 449.34 and 264.57

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Solution

The fourth proportional to 301.02, 449.34 and 264.57 is: 394.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.02 : 449.34 = 264.57 : x
  2. Step 2: Convert to fraction form
    301.02/449.34 = 264.57/x
  3. Step 3: Cross multiply
    301.02x = 449.34 × 264.57
  4. Step 4: Simplify right side
    301.02x = 118,881.88
  5. Step 5: Solve for x
    x = 118,881.88/301.02
  6. Step 6: Final answer
    x = 394.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.