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Finding the Fourth Proportional to 342.45, 512.79 and 287.48

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Solution

The fourth proportional to 342.45, 512.79 and 287.48 is: 430.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.45 : 512.79 = 287.48 : x
  2. Step 2: Convert to fraction form
    342.45/512.79 = 287.48/x
  3. Step 3: Cross multiply
    342.45x = 512.79 × 287.48
  4. Step 4: Simplify right side
    342.45x = 147,416.87
  5. Step 5: Solve for x
    x = 147,416.87/342.45
  6. Step 6: Final answer
    x = 430.48

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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.