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Finding the Fourth Proportional to 906.41, 1,359.34 and 473.33

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Solution

The fourth proportional to 906.41, 1,359.34 and 473.33 is: 709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.41 : 1,359.34 = 473.33 : x
  2. Step 2: Convert to fraction form
    906.41/1,359.34 = 473.33/x
  3. Step 3: Cross multiply
    906.41x = 1,359.34 × 473.33
  4. Step 4: Simplify right side
    906.41x = 643,416.40
  5. Step 5: Solve for x
    x = 643,416.40/906.41
  6. Step 6: Final answer
    x = 709.85

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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.