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Finding the Fourth Proportional to 336.03, 463.74 and 205

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Solution

The fourth proportional to 336.03, 463.74 and 205 is: 282.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.03 : 463.74 = 205 : x
  2. Step 2: Convert to fraction form
    336.03/463.74 = 205/x
  3. Step 3: Cross multiply
    336.03x = 463.74 × 205
  4. Step 4: Simplify right side
    336.03x = 95,066.70
  5. Step 5: Solve for x
    x = 95,066.70/336.03
  6. Step 6: Final answer
    x = 282.91

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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.