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Finding the Fourth Proportional to 371.59, 560.37 and 369.16

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Solution

The fourth proportional to 371.59, 560.37 and 369.16 is: 556.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.59 : 560.37 = 369.16 : x
  2. Step 2: Convert to fraction form
    371.59/560.37 = 369.16/x
  3. Step 3: Cross multiply
    371.59x = 560.37 × 369.16
  4. Step 4: Simplify right side
    371.59x = 206,864.10
  5. Step 5: Solve for x
    x = 206,864.10/371.59
  6. Step 6: Final answer
    x = 556.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.