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Finding the Fourth Proportional to 628.63, 941.18 and 474.07

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Solution

The fourth proportional to 628.63, 941.18 and 474.07 is: 709.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.63 : 941.18 = 474.07 : x
  2. Step 2: Convert to fraction form
    628.63/941.18 = 474.07/x
  3. Step 3: Cross multiply
    628.63x = 941.18 × 474.07
  4. Step 4: Simplify right side
    628.63x = 446,182.85
  5. Step 5: Solve for x
    x = 446,182.85/628.63
  6. Step 6: Final answer
    x = 709.78

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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.