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Finding the Fourth Proportional to 377.37, 522.27 and 368.28

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Solution

The fourth proportional to 377.37, 522.27 and 368.28 is: 509.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.37 : 522.27 = 368.28 : x
  2. Step 2: Convert to fraction form
    377.37/522.27 = 368.28/x
  3. Step 3: Cross multiply
    377.37x = 522.27 × 368.28
  4. Step 4: Simplify right side
    377.37x = 192,341.60
  5. Step 5: Solve for x
    x = 192,341.60/377.37
  6. Step 6: Final answer
    x = 509.69

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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.