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Finding the Fourth Proportional to 645.18, 890.35 and 350.45

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Solution

The fourth proportional to 645.18, 890.35 and 350.45 is: 483.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.18 : 890.35 = 350.45 : x
  2. Step 2: Convert to fraction form
    645.18/890.35 = 350.45/x
  3. Step 3: Cross multiply
    645.18x = 890.35 × 350.45
  4. Step 4: Simplify right side
    645.18x = 312,023.16
  5. Step 5: Solve for x
    x = 312,023.16/645.18
  6. Step 6: Final answer
    x = 483.62

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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.