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Finding the Fourth Proportional to 371.01, 511.91 and 282.47

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Solution

The fourth proportional to 371.01, 511.91 and 282.47 is: 389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.01 : 511.91 = 282.47 : x
  2. Step 2: Convert to fraction form
    371.01/511.91 = 282.47/x
  3. Step 3: Cross multiply
    371.01x = 511.91 × 282.47
  4. Step 4: Simplify right side
    371.01x = 144,599.22
  5. Step 5: Solve for x
    x = 144,599.22/371.01
  6. Step 6: Final answer
    x = 389.74

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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.