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Finding the Fourth Proportional to 532.54, 797.78 and 326.51

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Solution

The fourth proportional to 532.54, 797.78 and 326.51 is: 489.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.54 : 797.78 = 326.51 : x
  2. Step 2: Convert to fraction form
    532.54/797.78 = 326.51/x
  3. Step 3: Cross multiply
    532.54x = 797.78 × 326.51
  4. Step 4: Simplify right side
    532.54x = 260,479.98
  5. Step 5: Solve for x
    x = 260,479.98/532.54
  6. Step 6: Final answer
    x = 489.13

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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.