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Finding the Fourth Proportional to 645.71, 890.74 and 383.81

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Solution

The fourth proportional to 645.71, 890.74 and 383.81 is: 529.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.71 : 890.74 = 383.81 : x
  2. Step 2: Convert to fraction form
    645.71/890.74 = 383.81/x
  3. Step 3: Cross multiply
    645.71x = 890.74 × 383.81
  4. Step 4: Simplify right side
    645.71x = 341,874.92
  5. Step 5: Solve for x
    x = 341,874.92/645.71
  6. Step 6: Final answer
    x = 529.46

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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.