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Finding the Fourth Proportional to 619.23, 853.09 and 432.39

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Solution

The fourth proportional to 619.23, 853.09 and 432.39 is: 595.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.23 : 853.09 = 432.39 : x
  2. Step 2: Convert to fraction form
    619.23/853.09 = 432.39/x
  3. Step 3: Cross multiply
    619.23x = 853.09 × 432.39
  4. Step 4: Simplify right side
    619.23x = 368,866.50
  5. Step 5: Solve for x
    x = 368,866.50/619.23
  6. Step 6: Final answer
    x = 595.69

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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.