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Finding the Fourth Proportional to 384.39, 529.74 and 377.37

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Solution

The fourth proportional to 384.39, 529.74 and 377.37 is: 520.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.39 : 529.74 = 377.37 : x
  2. Step 2: Convert to fraction form
    384.39/529.74 = 377.37/x
  3. Step 3: Cross multiply
    384.39x = 529.74 × 377.37
  4. Step 4: Simplify right side
    384.39x = 199,907.98
  5. Step 5: Solve for x
    x = 199,907.98/384.39
  6. Step 6: Final answer
    x = 520.07

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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.