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Finding the Fourth Proportional to 382.81, 529.05 and 289.52

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Solution

The fourth proportional to 382.81, 529.05 and 289.52 is: 400.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.81 : 529.05 = 289.52 : x
  2. Step 2: Convert to fraction form
    382.81/529.05 = 289.52/x
  3. Step 3: Cross multiply
    382.81x = 529.05 × 289.52
  4. Step 4: Simplify right side
    382.81x = 153,169.11
  5. Step 5: Solve for x
    x = 153,169.11/382.81
  6. Step 6: Final answer
    x = 400.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.