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Finding the Fourth Proportional to 386.40, 576.06 and 352.20

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Solution

The fourth proportional to 386.40, 576.06 and 352.20 is: 525.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.40 : 576.06 = 352.20 : x
  2. Step 2: Convert to fraction form
    386.40/576.06 = 352.20/x
  3. Step 3: Cross multiply
    386.40x = 576.06 × 352.20
  4. Step 4: Simplify right side
    386.40x = 202,888.33
  5. Step 5: Solve for x
    x = 202,888.33/386.40
  6. Step 6: Final answer
    x = 525.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.