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Finding the Fourth Proportional to 532.71, 799.36 and 289.40

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Solution

The fourth proportional to 532.71, 799.36 and 289.40 is: 434.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.71 : 799.36 = 289.40 : x
  2. Step 2: Convert to fraction form
    532.71/799.36 = 289.40/x
  3. Step 3: Cross multiply
    532.71x = 799.36 × 289.40
  4. Step 4: Simplify right side
    532.71x = 231,334.78
  5. Step 5: Solve for x
    x = 231,334.78/532.71
  6. Step 6: Final answer
    x = 434.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.