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Finding the Fourth Proportional to 377.55, 520.92 and 230.25

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Solution

The fourth proportional to 377.55, 520.92 and 230.25 is: 317.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.55 : 520.92 = 230.25 : x
  2. Step 2: Convert to fraction form
    377.55/520.92 = 230.25/x
  3. Step 3: Cross multiply
    377.55x = 520.92 × 230.25
  4. Step 4: Simplify right side
    377.55x = 119,941.83
  5. Step 5: Solve for x
    x = 119,941.83/377.55
  6. Step 6: Final answer
    x = 317.68

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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.