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Finding the Fourth Proportional to 283.58, 424.24 and 245.49

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Solution

The fourth proportional to 283.58, 424.24 and 245.49 is: 367.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.58 : 424.24 = 245.49 : x
  2. Step 2: Convert to fraction form
    283.58/424.24 = 245.49/x
  3. Step 3: Cross multiply
    283.58x = 424.24 × 245.49
  4. Step 4: Simplify right side
    283.58x = 104,145.67
  5. Step 5: Solve for x
    x = 104,145.67/283.58
  6. Step 6: Final answer
    x = 367.25

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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.