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Finding the Fourth Proportional to 645.13, 890.28 and 350.40

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Solution

The fourth proportional to 645.13, 890.28 and 350.40 is: 483.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.13 : 890.28 = 350.40 : x
  2. Step 2: Convert to fraction form
    645.13/890.28 = 350.40/x
  3. Step 3: Cross multiply
    645.13x = 890.28 × 350.40
  4. Step 4: Simplify right side
    645.13x = 311,947.91
  5. Step 5: Solve for x
    x = 311,947.91/645.13
  6. Step 6: Final answer
    x = 483.55

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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.