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Finding the Fourth Proportional to 532.65, 799.44 and 289.35

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Solution

The fourth proportional to 532.65, 799.44 and 289.35 is: 434.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.65 : 799.44 = 289.35 : x
  2. Step 2: Convert to fraction form
    532.65/799.44 = 289.35/x
  3. Step 3: Cross multiply
    532.65x = 799.44 × 289.35
  4. Step 4: Simplify right side
    532.65x = 231,317.96
  5. Step 5: Solve for x
    x = 231,317.96/532.65
  6. Step 6: Final answer
    x = 434.28

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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.