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Finding the Fourth Proportional to 345.96, 474.63 and 336.84

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Solution

The fourth proportional to 345.96, 474.63 and 336.84 is: 462.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.96 : 474.63 = 336.84 : x
  2. Step 2: Convert to fraction form
    345.96/474.63 = 336.84/x
  3. Step 3: Cross multiply
    345.96x = 474.63 × 336.84
  4. Step 4: Simplify right side
    345.96x = 159,874.37
  5. Step 5: Solve for x
    x = 159,874.37/345.96
  6. Step 6: Final answer
    x = 462.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.