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Finding the Fourth Proportional to 317.84, 438.23 and 273.50

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Solution

The fourth proportional to 317.84, 438.23 and 273.50 is: 377.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.84 : 438.23 = 273.50 : x
  2. Step 2: Convert to fraction form
    317.84/438.23 = 273.50/x
  3. Step 3: Cross multiply
    317.84x = 438.23 × 273.50
  4. Step 4: Simplify right side
    317.84x = 119,854.40
  5. Step 5: Solve for x
    x = 119,854.40/317.84
  6. Step 6: Final answer
    x = 377.09

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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.