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Finding the Fourth Proportional to 283.65, 424.49 and 245.58

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Solution

The fourth proportional to 283.65, 424.49 and 245.58 is: 367.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.65 : 424.49 = 245.58 : x
  2. Step 2: Convert to fraction form
    283.65/424.49 = 245.58/x
  3. Step 3: Cross multiply
    283.65x = 424.49 × 245.58
  4. Step 4: Simplify right side
    283.65x = 104,245.03
  5. Step 5: Solve for x
    x = 104,245.03/283.65
  6. Step 6: Final answer
    x = 367.51

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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.