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Finding the Fourth Proportional to 619.17, 853.54 and 432.37

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Solution

The fourth proportional to 619.17, 853.54 and 432.37 is: 596.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.17 : 853.54 = 432.37 : x
  2. Step 2: Convert to fraction form
    619.17/853.54 = 432.37/x
  3. Step 3: Cross multiply
    619.17x = 853.54 × 432.37
  4. Step 4: Simplify right side
    619.17x = 369,045.09
  5. Step 5: Solve for x
    x = 369,045.09/619.17
  6. Step 6: Final answer
    x = 596.03

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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.