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Finding the Fourth Proportional to 338.98, 508.47 and 317.11

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Solution

The fourth proportional to 338.98, 508.47 and 317.11 is: 475.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.98 : 508.47 = 317.11 : x
  2. Step 2: Convert to fraction form
    338.98/508.47 = 317.11/x
  3. Step 3: Cross multiply
    338.98x = 508.47 × 317.11
  4. Step 4: Simplify right side
    338.98x = 161,240.92
  5. Step 5: Solve for x
    x = 161,240.92/338.98
  6. Step 6: Final answer
    x = 475.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.