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Finding the Fourth Proportional to 645.54, 890.84 and 383.68

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Solution

The fourth proportional to 645.54, 890.84 and 383.68 is: 529.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.54 : 890.84 = 383.68 : x
  2. Step 2: Convert to fraction form
    645.54/890.84 = 383.68/x
  3. Step 3: Cross multiply
    645.54x = 890.84 × 383.68
  4. Step 4: Simplify right side
    645.54x = 341,797.49
  5. Step 5: Solve for x
    x = 341,797.49/645.54
  6. Step 6: Final answer
    x = 529.48

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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.