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Finding the Fourth Proportional to 304.75, 457.34 and 264.13

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Solution

The fourth proportional to 304.75, 457.34 and 264.13 is: 396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.75 : 457.34 = 264.13 : x
  2. Step 2: Convert to fraction form
    304.75/457.34 = 264.13/x
  3. Step 3: Cross multiply
    304.75x = 457.34 × 264.13
  4. Step 4: Simplify right side
    304.75x = 120,795.89
  5. Step 5: Solve for x
    x = 120,795.89/304.75
  6. Step 6: Final answer
    x = 396.38

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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.