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Finding the Fourth Proportional to 432.75, 645.94 and 378.35

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Solution

The fourth proportional to 432.75, 645.94 and 378.35 is: 564.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.75 : 645.94 = 378.35 : x
  2. Step 2: Convert to fraction form
    432.75/645.94 = 378.35/x
  3. Step 3: Cross multiply
    432.75x = 645.94 × 378.35
  4. Step 4: Simplify right side
    432.75x = 244,391.40
  5. Step 5: Solve for x
    x = 244,391.40/432.75
  6. Step 6: Final answer
    x = 564.74

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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.