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Finding the Fourth Proportional to 523.40, 784.49 and 249.09

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Solution

The fourth proportional to 523.40, 784.49 and 249.09 is: 373.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.40 : 784.49 = 249.09 : x
  2. Step 2: Convert to fraction form
    523.40/784.49 = 249.09/x
  3. Step 3: Cross multiply
    523.40x = 784.49 × 249.09
  4. Step 4: Simplify right side
    523.40x = 195,407.37
  5. Step 5: Solve for x
    x = 195,407.37/523.40
  6. Step 6: Final answer
    x = 373.35

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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.