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Finding the Fourth Proportional to 685.19, 945.56 and 374.69

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Solution

The fourth proportional to 685.19, 945.56 and 374.69 is: 517.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.19 : 945.56 = 374.69 : x
  2. Step 2: Convert to fraction form
    685.19/945.56 = 374.69/x
  3. Step 3: Cross multiply
    685.19x = 945.56 × 374.69
  4. Step 4: Simplify right side
    685.19x = 354,289.51
  5. Step 5: Solve for x
    x = 354,289.51/685.19
  6. Step 6: Final answer
    x = 517.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.