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Finding the Fourth Proportional to 443.08, 610.16 and 344.67

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Solution

The fourth proportional to 443.08, 610.16 and 344.67 is: 474.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.08 : 610.16 = 344.67 : x
  2. Step 2: Convert to fraction form
    443.08/610.16 = 344.67/x
  3. Step 3: Cross multiply
    443.08x = 610.16 × 344.67
  4. Step 4: Simplify right side
    443.08x = 210,303.85
  5. Step 5: Solve for x
    x = 210,303.85/443.08
  6. Step 6: Final answer
    x = 474.64

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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.