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Finding the Fourth Proportional to 905.19, 1,357.09 and 319.93

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Solution

The fourth proportional to 905.19, 1,357.09 and 319.93 is: 479.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.19 : 1,357.09 = 319.93 : x
  2. Step 2: Convert to fraction form
    905.19/1,357.09 = 319.93/x
  3. Step 3: Cross multiply
    905.19x = 1,357.09 × 319.93
  4. Step 4: Simplify right side
    905.19x = 434,173.80
  5. Step 5: Solve for x
    x = 434,173.80/905.19
  6. Step 6: Final answer
    x = 479.65

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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.