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Finding the Fourth Proportional to 645.20, 890.64 and 383.24

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Solution

The fourth proportional to 645.20, 890.64 and 383.24 is: 529.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.20 : 890.64 = 383.24 : x
  2. Step 2: Convert to fraction form
    645.20/890.64 = 383.24/x
  3. Step 3: Cross multiply
    645.20x = 890.64 × 383.24
  4. Step 4: Simplify right side
    645.20x = 341,328.87
  5. Step 5: Solve for x
    x = 341,328.87/645.20
  6. Step 6: Final answer
    x = 529.03

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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.