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Finding the Fourth Proportional to 628.97, 867.93 and 367.01

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Solution

The fourth proportional to 628.97, 867.93 and 367.01 is: 506.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.97 : 867.93 = 367.01 : x
  2. Step 2: Convert to fraction form
    628.97/867.93 = 367.01/x
  3. Step 3: Cross multiply
    628.97x = 867.93 × 367.01
  4. Step 4: Simplify right side
    628.97x = 318,538.99
  5. Step 5: Solve for x
    x = 318,538.99/628.97
  6. Step 6: Final answer
    x = 506.45

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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.