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Finding the Fourth Proportional to 784.23, 1,176.36 and 236.42

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Solution

The fourth proportional to 784.23, 1,176.36 and 236.42 is: 354.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.23 : 1,176.36 = 236.42 : x
  2. Step 2: Convert to fraction form
    784.23/1,176.36 = 236.42/x
  3. Step 3: Cross multiply
    784.23x = 1,176.36 × 236.42
  4. Step 4: Simplify right side
    784.23x = 278,115.03
  5. Step 5: Solve for x
    x = 278,115.03/784.23
  6. Step 6: Final answer
    x = 354.63

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Double scale
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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.