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Finding the Fourth Proportional to 435.20, 599.84 and 352

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Solution

The fourth proportional to 435.20, 599.84 and 352 is: 485.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.20 : 599.84 = 352 : x
  2. Step 2: Convert to fraction form
    435.20/599.84 = 352/x
  3. Step 3: Cross multiply
    435.20x = 599.84 × 352
  4. Step 4: Simplify right side
    435.20x = 211,143.68
  5. Step 5: Solve for x
    x = 211,143.68/435.20
  6. Step 6: Final answer
    x = 485.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.