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Finding the Fourth Proportional to 619.20, 854.28 and 432.63

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Solution

The fourth proportional to 619.20, 854.28 and 432.63 is: 596.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.20 : 854.28 = 432.63 : x
  2. Step 2: Convert to fraction form
    619.20/854.28 = 432.63/x
  3. Step 3: Cross multiply
    619.20x = 854.28 × 432.63
  4. Step 4: Simplify right side
    619.20x = 369,587.16
  5. Step 5: Solve for x
    x = 369,587.16/619.20
  6. Step 6: Final answer
    x = 596.88

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