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Finding the Fourth Proportional to 443.46, 612.02 and 338.35

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Solution

The fourth proportional to 443.46, 612.02 and 338.35 is: 466.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.46 : 612.02 = 338.35 : x
  2. Step 2: Convert to fraction form
    443.46/612.02 = 338.35/x
  3. Step 3: Cross multiply
    443.46x = 612.02 × 338.35
  4. Step 4: Simplify right side
    443.46x = 207,075.28
  5. Step 5: Solve for x
    x = 207,075.28/443.46
  6. Step 6: Final answer
    x = 466.96

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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.