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Finding the Fourth Proportional to 435.91, 654 and 175.99

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Solution

The fourth proportional to 435.91, 654 and 175.99 is: 264.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.91 : 654 = 175.99 : x
  2. Step 2: Convert to fraction form
    435.91/654 = 175.99/x
  3. Step 3: Cross multiply
    435.91x = 654 × 175.99
  4. Step 4: Simplify right side
    435.91x = 115,097.46
  5. Step 5: Solve for x
    x = 115,097.46/435.91
  6. Step 6: Final answer
    x = 264.04

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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.