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Finding the Fourth Proportional to 435.85, 654.00 and 175.92

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Solution

The fourth proportional to 435.85, 654.00 and 175.92 is: 263.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.85 : 654.00 = 175.92 : x
  2. Step 2: Convert to fraction form
    435.85/654.00 = 175.92/x
  3. Step 3: Cross multiply
    435.85x = 654.00 × 175.92
  4. Step 4: Simplify right side
    435.85x = 115,048.85
  5. Step 5: Solve for x
    x = 115,048.85/435.85
  6. Step 6: Final answer
    x = 263.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.