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Finding the Fourth Proportional to 541.23, 746.46 and 344.67

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Solution

The fourth proportional to 541.23, 746.46 and 344.67 is: 475.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.23 : 746.46 = 344.67 : x
  2. Step 2: Convert to fraction form
    541.23/746.46 = 344.67/x
  3. Step 3: Cross multiply
    541.23x = 746.46 × 344.67
  4. Step 4: Simplify right side
    541.23x = 257,282.37
  5. Step 5: Solve for x
    x = 257,282.37/541.23
  6. Step 6: Final answer
    x = 475.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.