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Finding the Fourth Proportional to 346.94, 516.33 and 333.98

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Solution

The fourth proportional to 346.94, 516.33 and 333.98 is: 497.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.94 : 516.33 = 333.98 : x
  2. Step 2: Convert to fraction form
    346.94/516.33 = 333.98/x
  3. Step 3: Cross multiply
    346.94x = 516.33 × 333.98
  4. Step 4: Simplify right side
    346.94x = 172,442.22
  5. Step 5: Solve for x
    x = 172,442.22/346.94
  6. Step 6: Final answer
    x = 497.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.