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Finding the Fourth Proportional to 532.00, 796.63 and 325.94

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Solution

The fourth proportional to 532.00, 796.63 and 325.94 is: 488.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.00 : 796.63 = 325.94 : x
  2. Step 2: Convert to fraction form
    532.00/796.63 = 325.94/x
  3. Step 3: Cross multiply
    532.00x = 796.63 × 325.94
  4. Step 4: Simplify right side
    532.00x = 259,652.65
  5. Step 5: Solve for x
    x = 259,652.65/532.00
  6. Step 6: Final answer
    x = 488.07

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Why These Related Problems?

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