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Finding the Fourth Proportional to 906.98, 1,360.47 and 359.24

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Solution

The fourth proportional to 906.98, 1,360.47 and 359.24 is: 538.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.98 : 1,360.47 = 359.24 : x
  2. Step 2: Convert to fraction form
    906.98/1,360.47 = 359.24/x
  3. Step 3: Cross multiply
    906.98x = 1,360.47 × 359.24
  4. Step 4: Simplify right side
    906.98x = 488,735.24
  5. Step 5: Solve for x
    x = 488,735.24/906.98
  6. Step 6: Final answer
    x = 538.86

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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.