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Finding the Fourth Proportional to 679.51, 937.71 and 369.01

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Solution

The fourth proportional to 679.51, 937.71 and 369.01 is: 509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.51 : 937.71 = 369.01 : x
  2. Step 2: Convert to fraction form
    679.51/937.71 = 369.01/x
  3. Step 3: Cross multiply
    679.51x = 937.71 × 369.01
  4. Step 4: Simplify right side
    679.51x = 346,022.52
  5. Step 5: Solve for x
    x = 346,022.52/679.51
  6. Step 6: Final answer
    x = 509.22

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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.