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Finding the Fourth Proportional to 906.14, 1,358.26 and 357.57

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Solution

The fourth proportional to 906.14, 1,358.26 and 357.57 is: 535.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.14 : 1,358.26 = 357.57 : x
  2. Step 2: Convert to fraction form
    906.14/1,358.26 = 357.57/x
  3. Step 3: Cross multiply
    906.14x = 1,358.26 × 357.57
  4. Step 4: Simplify right side
    906.14x = 485,672.13
  5. Step 5: Solve for x
    x = 485,672.13/906.14
  6. Step 6: Final answer
    x = 535.98

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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.