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Finding the Fourth Proportional to 377.59, 521.01 and 230.20

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Solution

The fourth proportional to 377.59, 521.01 and 230.20 is: 317.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.59 : 521.01 = 230.20 : x
  2. Step 2: Convert to fraction form
    377.59/521.01 = 230.20/x
  3. Step 3: Cross multiply
    377.59x = 521.01 × 230.20
  4. Step 4: Simplify right side
    377.59x = 119,936.50
  5. Step 5: Solve for x
    x = 119,936.50/377.59
  6. Step 6: Final answer
    x = 317.64

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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.