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Finding the Fourth Proportional to 509.54, 764.31 and 337.30

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Solution

The fourth proportional to 509.54, 764.31 and 337.30 is: 505.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.54 : 764.31 = 337.30 : x
  2. Step 2: Convert to fraction form
    509.54/764.31 = 337.30/x
  3. Step 3: Cross multiply
    509.54x = 764.31 × 337.30
  4. Step 4: Simplify right side
    509.54x = 257,797.94
  5. Step 5: Solve for x
    x = 257,797.94/509.54
  6. Step 6: Final answer
    x = 505.94

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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.