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Finding the Fourth Proportional to 532.57, 799.62 and 328.05

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Solution

The fourth proportional to 532.57, 799.62 and 328.05 is: 492.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.57 : 799.62 = 328.05 : x
  2. Step 2: Convert to fraction form
    532.57/799.62 = 328.05/x
  3. Step 3: Cross multiply
    532.57x = 799.62 × 328.05
  4. Step 4: Simplify right side
    532.57x = 262,315.96
  5. Step 5: Solve for x
    x = 262,315.96/532.57
  6. Step 6: Final answer
    x = 492.55

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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.