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Finding the Fourth Proportional to 906.39, 1,358.52 and 386.24

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Solution

The fourth proportional to 906.39, 1,358.52 and 386.24 is: 578.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.39 : 1,358.52 = 386.24 : x
  2. Step 2: Convert to fraction form
    906.39/1,358.52 = 386.24/x
  3. Step 3: Cross multiply
    906.39x = 1,358.52 × 386.24
  4. Step 4: Simplify right side
    906.39x = 524,707.97
  5. Step 5: Solve for x
    x = 524,707.97/906.39
  6. Step 6: Final answer
    x = 578.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.