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Finding the Fourth Proportional to 338.99, 507.51 and 280.67

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Solution

The fourth proportional to 338.99, 507.51 and 280.67 is: 420.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.99 : 507.51 = 280.67 : x
  2. Step 2: Convert to fraction form
    338.99/507.51 = 280.67/x
  3. Step 3: Cross multiply
    338.99x = 507.51 × 280.67
  4. Step 4: Simplify right side
    338.99x = 142,440.29
  5. Step 5: Solve for x
    x = 142,440.29/338.99
  6. Step 6: Final answer
    x = 420.20

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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.