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Finding the Fourth Proportional to 619.88, 853.96 and 433.07

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Solution

The fourth proportional to 619.88, 853.96 and 433.07 is: 596.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.88 : 853.96 = 433.07 : x
  2. Step 2: Convert to fraction form
    619.88/853.96 = 433.07/x
  3. Step 3: Cross multiply
    619.88x = 853.96 × 433.07
  4. Step 4: Simplify right side
    619.88x = 369,823.69
  5. Step 5: Solve for x
    x = 369,823.69/619.88
  6. Step 6: Final answer
    x = 596.61

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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.