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Finding the Fourth Proportional to 509.43, 764.13 and 162.77

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Solution

The fourth proportional to 509.43, 764.13 and 162.77 is: 244.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.43 : 764.13 = 162.77 : x
  2. Step 2: Convert to fraction form
    509.43/764.13 = 162.77/x
  3. Step 3: Cross multiply
    509.43x = 764.13 × 162.77
  4. Step 4: Simplify right side
    509.43x = 124,373.62
  5. Step 5: Solve for x
    x = 124,373.62/509.43
  6. Step 6: Final answer
    x = 244.14

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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.