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Finding the Fourth Proportional to 367.88, 508.20 and 313.22

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Solution

The fourth proportional to 367.88, 508.20 and 313.22 is: 432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.88 : 508.20 = 313.22 : x
  2. Step 2: Convert to fraction form
    367.88/508.20 = 313.22/x
  3. Step 3: Cross multiply
    367.88x = 508.20 × 313.22
  4. Step 4: Simplify right side
    367.88x = 159,178.40
  5. Step 5: Solve for x
    x = 159,178.40/367.88
  6. Step 6: Final answer
    x = 432.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.