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Finding the Fourth Proportional to 509.52, 764.28 and 253.02

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Solution

The fourth proportional to 509.52, 764.28 and 253.02 is: 379.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.52 : 764.28 = 253.02 : x
  2. Step 2: Convert to fraction form
    509.52/764.28 = 253.02/x
  3. Step 3: Cross multiply
    509.52x = 764.28 × 253.02
  4. Step 4: Simplify right side
    509.52x = 193,378.13
  5. Step 5: Solve for x
    x = 193,378.13/509.52
  6. Step 6: Final answer
    x = 379.53

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Double scale
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Similar ratio
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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.