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Finding the Fourth Proportional to 377.84, 520.80 and 290.54

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Solution

The fourth proportional to 377.84, 520.80 and 290.54 is: 400.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.84 : 520.80 = 290.54 : x
  2. Step 2: Convert to fraction form
    377.84/520.80 = 290.54/x
  3. Step 3: Cross multiply
    377.84x = 520.80 × 290.54
  4. Step 4: Simplify right side
    377.84x = 151,313.23
  5. Step 5: Solve for x
    x = 151,313.23/377.84
  6. Step 6: Final answer
    x = 400.47

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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.