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Finding the Fourth Proportional to 905.63, 1,357.82 and 357.87

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Solution

The fourth proportional to 905.63, 1,357.82 and 357.87 is: 536.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.63 : 1,357.82 = 357.87 : x
  2. Step 2: Convert to fraction form
    905.63/1,357.82 = 357.87/x
  3. Step 3: Cross multiply
    905.63x = 1,357.82 × 357.87
  4. Step 4: Simplify right side
    905.63x = 485,921.25
  5. Step 5: Solve for x
    x = 485,921.25/905.63
  6. Step 6: Final answer
    x = 536.56

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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.