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Finding the Fourth Proportional to 383.95, 529.72 and 242.02

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Solution

The fourth proportional to 383.95, 529.72 and 242.02 is: 333.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.95 : 529.72 = 242.02 : x
  2. Step 2: Convert to fraction form
    383.95/529.72 = 242.02/x
  3. Step 3: Cross multiply
    383.95x = 529.72 × 242.02
  4. Step 4: Simplify right side
    383.95x = 128,202.83
  5. Step 5: Solve for x
    x = 128,202.83/383.95
  6. Step 6: Final answer
    x = 333.91

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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.