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Finding the Fourth Proportional to 342.23, 512.58 and 264.63

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Solution

The fourth proportional to 342.23, 512.58 and 264.63 is: 396.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.23 : 512.58 = 264.63 : x
  2. Step 2: Convert to fraction form
    342.23/512.58 = 264.63/x
  3. Step 3: Cross multiply
    342.23x = 512.58 × 264.63
  4. Step 4: Simplify right side
    342.23x = 135,644.05
  5. Step 5: Solve for x
    x = 135,644.05/342.23
  6. Step 6: Final answer
    x = 396.35

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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.