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Finding the Fourth Proportional to 509.51, 764.06 and 180.38

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Solution

The fourth proportional to 509.51, 764.06 and 180.38 is: 270.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.51 : 764.06 = 180.38 : x
  2. Step 2: Convert to fraction form
    509.51/764.06 = 180.38/x
  3. Step 3: Cross multiply
    509.51x = 764.06 × 180.38
  4. Step 4: Simplify right side
    509.51x = 137,816.42
  5. Step 5: Solve for x
    x = 137,816.42/509.51
  6. Step 6: Final answer
    x = 270.49

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Double scale
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Similar ratio
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1.5x scale

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.