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Finding the Fourth Proportional to 343.35, 511.66 and 333.93

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Solution

The fourth proportional to 343.35, 511.66 and 333.93 is: 497.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.35 : 511.66 = 333.93 : x
  2. Step 2: Convert to fraction form
    343.35/511.66 = 333.93/x
  3. Step 3: Cross multiply
    343.35x = 511.66 × 333.93
  4. Step 4: Simplify right side
    343.35x = 170,857.79
  5. Step 5: Solve for x
    x = 170,857.79/343.35
  6. Step 6: Final answer
    x = 497.62

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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.