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Finding the Fourth Proportional to 906.84, 1,359.90 and 359.01

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Solution

The fourth proportional to 906.84, 1,359.90 and 359.01 is: 538.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.84 : 1,359.90 = 359.01 : x
  2. Step 2: Convert to fraction form
    906.84/1,359.90 = 359.01/x
  3. Step 3: Cross multiply
    906.84x = 1,359.90 × 359.01
  4. Step 4: Simplify right side
    906.84x = 488,217.70
  5. Step 5: Solve for x
    x = 488,217.70/906.84
  6. Step 6: Final answer
    x = 538.37

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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.