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Finding the Fourth Proportional to 382.84, 528.03 and 242.81

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Solution

The fourth proportional to 382.84, 528.03 and 242.81 is: 334.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.84 : 528.03 = 242.81 : x
  2. Step 2: Convert to fraction form
    382.84/528.03 = 242.81/x
  3. Step 3: Cross multiply
    382.84x = 528.03 × 242.81
  4. Step 4: Simplify right side
    382.84x = 128,210.96
  5. Step 5: Solve for x
    x = 128,210.96/382.84
  6. Step 6: Final answer
    x = 334.89

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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.