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Finding the Fourth Proportional to 619.85, 855.36 and 340.07

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Solution

The fourth proportional to 619.85, 855.36 and 340.07 is: 469.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.85 : 855.36 = 340.07 : x
  2. Step 2: Convert to fraction form
    619.85/855.36 = 340.07/x
  3. Step 3: Cross multiply
    619.85x = 855.36 × 340.07
  4. Step 4: Simplify right side
    619.85x = 290,882.28
  5. Step 5: Solve for x
    x = 290,882.28/619.85
  6. Step 6: Final answer
    x = 469.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.