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Finding the Fourth Proportional to 335.84, 463.58 and 237.69

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Solution

The fourth proportional to 335.84, 463.58 and 237.69 is: 328.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.84 : 463.58 = 237.69 : x
  2. Step 2: Convert to fraction form
    335.84/463.58 = 237.69/x
  3. Step 3: Cross multiply
    335.84x = 463.58 × 237.69
  4. Step 4: Simplify right side
    335.84x = 110,187.14
  5. Step 5: Solve for x
    x = 110,187.14/335.84
  6. Step 6: Final answer
    x = 328.10

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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.