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Finding the Fourth Proportional to 509.47, 764.30 and 180.32

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Solution

The fourth proportional to 509.47, 764.30 and 180.32 is: 270.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.47 : 764.30 = 180.32 : x
  2. Step 2: Convert to fraction form
    509.47/764.30 = 180.32/x
  3. Step 3: Cross multiply
    509.47x = 764.30 × 180.32
  4. Step 4: Simplify right side
    509.47x = 137,818.58
  5. Step 5: Solve for x
    x = 137,818.58/509.47
  6. Step 6: Final answer
    x = 270.51

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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.