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Finding the Fourth Proportional to 281.99, 420.74 and 279.83

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Solution

The fourth proportional to 281.99, 420.74 and 279.83 is: 417.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.99 : 420.74 = 279.83 : x
  2. Step 2: Convert to fraction form
    281.99/420.74 = 279.83/x
  3. Step 3: Cross multiply
    281.99x = 420.74 × 279.83
  4. Step 4: Simplify right side
    281.99x = 117,735.67
  5. Step 5: Solve for x
    x = 117,735.67/281.99
  6. Step 6: Final answer
    x = 417.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.