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Finding the Fourth Proportional to 906.30, 1,359.85 and 419.10

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Solution

The fourth proportional to 906.30, 1,359.85 and 419.10 is: 628.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.30 : 1,359.85 = 419.10 : x
  2. Step 2: Convert to fraction form
    906.30/1,359.85 = 419.10/x
  3. Step 3: Cross multiply
    906.30x = 1,359.85 × 419.10
  4. Step 4: Simplify right side
    906.30x = 569,913.14
  5. Step 5: Solve for x
    x = 569,913.14/906.30
  6. Step 6: Final answer
    x = 628.83

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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.