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Finding the Fourth Proportional to 511.94, 705.93 and 336.98

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Solution

The fourth proportional to 511.94, 705.93 and 336.98 is: 464.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.94 : 705.93 = 336.98 : x
  2. Step 2: Convert to fraction form
    511.94/705.93 = 336.98/x
  3. Step 3: Cross multiply
    511.94x = 705.93 × 336.98
  4. Step 4: Simplify right side
    511.94x = 237,884.29
  5. Step 5: Solve for x
    x = 237,884.29/511.94
  6. Step 6: Final answer
    x = 464.67

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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.