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Finding the Fourth Proportional to 532.88, 799.08 and 302.12

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Solution

The fourth proportional to 532.88, 799.08 and 302.12 is: 453.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.88 : 799.08 = 302.12 : x
  2. Step 2: Convert to fraction form
    532.88/799.08 = 302.12/x
  3. Step 3: Cross multiply
    532.88x = 799.08 × 302.12
  4. Step 4: Simplify right side
    532.88x = 241,418.05
  5. Step 5: Solve for x
    x = 241,418.05/532.88
  6. Step 6: Final answer
    x = 453.04

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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.