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Finding the Fourth Proportional to 336.47, 463.86 and 238.05

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Solution

The fourth proportional to 336.47, 463.86 and 238.05 is: 328.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.47 : 463.86 = 238.05 : x
  2. Step 2: Convert to fraction form
    336.47/463.86 = 238.05/x
  3. Step 3: Cross multiply
    336.47x = 463.86 × 238.05
  4. Step 4: Simplify right side
    336.47x = 110,421.87
  5. Step 5: Solve for x
    x = 110,421.87/336.47
  6. Step 6: Final answer
    x = 328.18

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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.