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Finding the Fourth Proportional to 335.76, 462.79 and 242.36

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Solution

The fourth proportional to 335.76, 462.79 and 242.36 is: 334.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.76 : 462.79 = 242.36 : x
  2. Step 2: Convert to fraction form
    335.76/462.79 = 242.36/x
  3. Step 3: Cross multiply
    335.76x = 462.79 × 242.36
  4. Step 4: Simplify right side
    335.76x = 112,161.51
  5. Step 5: Solve for x
    x = 112,161.51/335.76
  6. Step 6: Final answer
    x = 334.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.