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Finding the Fourth Proportional to 474.30, 709.68 and 288.54

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Solution

The fourth proportional to 474.30, 709.68 and 288.54 is: 431.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.30 : 709.68 = 288.54 : x
  2. Step 2: Convert to fraction form
    474.30/709.68 = 288.54/x
  3. Step 3: Cross multiply
    474.30x = 709.68 × 288.54
  4. Step 4: Simplify right side
    474.30x = 204,771.07
  5. Step 5: Solve for x
    x = 204,771.07/474.30
  6. Step 6: Final answer
    x = 431.73

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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.