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Finding the Fourth Proportional to 784.41, 1,176.80 and 236.58

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Solution

The fourth proportional to 784.41, 1,176.80 and 236.58 is: 354.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.41 : 1,176.80 = 236.58 : x
  2. Step 2: Convert to fraction form
    784.41/1,176.80 = 236.58/x
  3. Step 3: Cross multiply
    784.41x = 1,176.80 × 236.58
  4. Step 4: Simplify right side
    784.41x = 278,406.16
  5. Step 5: Solve for x
    x = 278,406.16/784.41
  6. Step 6: Final answer
    x = 354.92

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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.