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Finding the Fourth Proportional to 905.80, 1,358.38 and 472.92

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Solution

The fourth proportional to 905.80, 1,358.38 and 472.92 is: 709.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.80 : 1,358.38 = 472.92 : x
  2. Step 2: Convert to fraction form
    905.80/1,358.38 = 472.92/x
  3. Step 3: Cross multiply
    905.80x = 1,358.38 × 472.92
  4. Step 4: Simplify right side
    905.80x = 642,405.07
  5. Step 5: Solve for x
    x = 642,405.07/905.80
  6. Step 6: Final answer
    x = 709.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.