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Finding the Fourth Proportional to 509.35, 764 and 162.70

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Solution

The fourth proportional to 509.35, 764 and 162.70 is: 244.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.35 : 764 = 162.70 : x
  2. Step 2: Convert to fraction form
    509.35/764 = 162.70/x
  3. Step 3: Cross multiply
    509.35x = 764 × 162.70
  4. Step 4: Simplify right side
    509.35x = 124,302.80
  5. Step 5: Solve for x
    x = 124,302.80/509.35
  6. Step 6: Final answer
    x = 244.04

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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.