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Finding the Fourth Proportional to 377.19, 520.16 and 283.23

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Solution

The fourth proportional to 377.19, 520.16 and 283.23 is: 390.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.19 : 520.16 = 283.23 : x
  2. Step 2: Convert to fraction form
    377.19/520.16 = 283.23/x
  3. Step 3: Cross multiply
    377.19x = 520.16 × 283.23
  4. Step 4: Simplify right side
    377.19x = 147,323.50
  5. Step 5: Solve for x
    x = 147,323.50/377.19
  6. Step 6: Final answer
    x = 390.58

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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.