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Finding the Fourth Proportional to 906, 1,358.12 and 419.34

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Solution

The fourth proportional to 906, 1,358.12 and 419.34 is: 628.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    906 : 1,358.12 = 419.34 : x
  2. Step 2: Convert to fraction form
    906/1,358.12 = 419.34/x
  3. Step 3: Cross multiply
    906x = 1,358.12 × 419.34
  4. Step 4: Simplify right side
    906x = 569,514.04
  5. Step 5: Solve for x
    x = 569,514.04/906
  6. Step 6: Final answer
    x = 628.60

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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.