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Finding the Fourth Proportional to 619.12, 853.86 and 432.28

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Solution

The fourth proportional to 619.12, 853.86 and 432.28 is: 596.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.12 : 853.86 = 432.28 : x
  2. Step 2: Convert to fraction form
    619.12/853.86 = 432.28/x
  3. Step 3: Cross multiply
    619.12x = 853.86 × 432.28
  4. Step 4: Simplify right side
    619.12x = 369,106.60
  5. Step 5: Solve for x
    x = 369,106.60/619.12
  6. Step 6: Final answer
    x = 596.18

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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.