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Finding the Fourth Proportional to 905.54, 1,357.77 and 357.32

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Solution

The fourth proportional to 905.54, 1,357.77 and 357.32 is: 535.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.54 : 1,357.77 = 357.32 : x
  2. Step 2: Convert to fraction form
    905.54/1,357.77 = 357.32/x
  3. Step 3: Cross multiply
    905.54x = 1,357.77 × 357.32
  4. Step 4: Simplify right side
    905.54x = 485,158.38
  5. Step 5: Solve for x
    x = 485,158.38/905.54
  6. Step 6: Final answer
    x = 535.77

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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.