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Finding the Fourth Proportional to 509.00, 763.70 and 179.98

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Solution

The fourth proportional to 509.00, 763.70 and 179.98 is: 270.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.00 : 763.70 = 179.98 : x
  2. Step 2: Convert to fraction form
    509.00/763.70 = 179.98/x
  3. Step 3: Cross multiply
    509.00x = 763.70 × 179.98
  4. Step 4: Simplify right side
    509.00x = 137,447.92
  5. Step 5: Solve for x
    x = 137,447.92/509.00
  6. Step 6: Final answer
    x = 270.04

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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.