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Finding the Fourth Proportional to 399.65, 599.76 and 278.06

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Solution

The fourth proportional to 399.65, 599.76 and 278.06 is: 417.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.65 : 599.76 = 278.06 : x
  2. Step 2: Convert to fraction form
    399.65/599.76 = 278.06/x
  3. Step 3: Cross multiply
    399.65x = 599.76 × 278.06
  4. Step 4: Simplify right side
    399.65x = 166,766.27
  5. Step 5: Solve for x
    x = 166,766.27/399.65
  6. Step 6: Final answer
    x = 417.29

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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.