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Finding the Fourth Proportional to 532.37, 798.57 and 326.81

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Solution

The fourth proportional to 532.37, 798.57 and 326.81 is: 490.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.37 : 798.57 = 326.81 : x
  2. Step 2: Convert to fraction form
    532.37/798.57 = 326.81/x
  3. Step 3: Cross multiply
    532.37x = 798.57 × 326.81
  4. Step 4: Simplify right side
    532.37x = 260,980.66
  5. Step 5: Solve for x
    x = 260,980.66/532.37
  6. Step 6: Final answer
    x = 490.22

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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.