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Finding the Fourth Proportional to 1,238.34, 1,857.36 and 416.40

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Solution

The fourth proportional to 1,238.34, 1,857.36 and 416.40 is: 624.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.34 : 1,857.36 = 416.40 : x
  2. Step 2: Convert to fraction form
    1,238.34/1,857.36 = 416.40/x
  3. Step 3: Cross multiply
    1,238.34x = 1,857.36 × 416.40
  4. Step 4: Simplify right side
    1,238.34x = 773,404.70
  5. Step 5: Solve for x
    x = 773,404.70/1,238.34
  6. Step 6: Final answer
    x = 624.55

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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.