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Finding the Fourth Proportional to 326.58, 487.94 and 242.84

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Solution

The fourth proportional to 326.58, 487.94 and 242.84 is: 362.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.58 : 487.94 = 242.84 : x
  2. Step 2: Convert to fraction form
    326.58/487.94 = 242.84/x
  3. Step 3: Cross multiply
    326.58x = 487.94 × 242.84
  4. Step 4: Simplify right side
    326.58x = 118,491.35
  5. Step 5: Solve for x
    x = 118,491.35/326.58
  6. Step 6: Final answer
    x = 362.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.