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Finding the Fourth Proportional to 645.60, 890.93 and 350.86

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Solution

The fourth proportional to 645.60, 890.93 and 350.86 is: 484.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.60 : 890.93 = 350.86 : x
  2. Step 2: Convert to fraction form
    645.60/890.93 = 350.86/x
  3. Step 3: Cross multiply
    645.60x = 890.93 × 350.86
  4. Step 4: Simplify right side
    645.60x = 312,591.70
  5. Step 5: Solve for x
    x = 312,591.70/645.60
  6. Step 6: Final answer
    x = 484.19

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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.