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Finding the Fourth Proportional to 493.63, 740.22 and 288.27

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Solution

The fourth proportional to 493.63, 740.22 and 288.27 is: 432.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.63 : 740.22 = 288.27 : x
  2. Step 2: Convert to fraction form
    493.63/740.22 = 288.27/x
  3. Step 3: Cross multiply
    493.63x = 740.22 × 288.27
  4. Step 4: Simplify right side
    493.63x = 213,383.22
  5. Step 5: Solve for x
    x = 213,383.22/493.63
  6. Step 6: Final answer
    x = 432.27

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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.