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Finding the Fourth Proportional to 906.40, 1,359.24 and 419.32

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Solution

The fourth proportional to 906.40, 1,359.24 and 419.32 is: 628.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.40 : 1,359.24 = 419.32 : x
  2. Step 2: Convert to fraction form
    906.40/1,359.24 = 419.32/x
  3. Step 3: Cross multiply
    906.40x = 1,359.24 × 419.32
  4. Step 4: Simplify right side
    906.40x = 569,956.52
  5. Step 5: Solve for x
    x = 569,956.52/906.40
  6. Step 6: Final answer
    x = 628.81

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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.