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Finding the Fourth Proportional to 383.76, 529.56 and 242.07

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Solution

The fourth proportional to 383.76, 529.56 and 242.07 is: 334.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.76 : 529.56 = 242.07 : x
  2. Step 2: Convert to fraction form
    383.76/529.56 = 242.07/x
  3. Step 3: Cross multiply
    383.76x = 529.56 × 242.07
  4. Step 4: Simplify right side
    383.76x = 128,190.59
  5. Step 5: Solve for x
    x = 128,190.59/383.76
  6. Step 6: Final answer
    x = 334.04

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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.