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Finding the Fourth Proportional to 432.83, 645.57 and 380.88

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Solution

The fourth proportional to 432.83, 645.57 and 380.88 is: 568.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.83 : 645.57 = 380.88 : x
  2. Step 2: Convert to fraction form
    432.83/645.57 = 380.88/x
  3. Step 3: Cross multiply
    432.83x = 645.57 × 380.88
  4. Step 4: Simplify right side
    432.83x = 245,884.70
  5. Step 5: Solve for x
    x = 245,884.70/432.83
  6. Step 6: Final answer
    x = 568.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.