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Finding the Fourth Proportional to 784.17, 1,176.45 and 236.36

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Solution

The fourth proportional to 784.17, 1,176.45 and 236.36 is: 354.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.17 : 1,176.45 = 236.36 : x
  2. Step 2: Convert to fraction form
    784.17/1,176.45 = 236.36/x
  3. Step 3: Cross multiply
    784.17x = 1,176.45 × 236.36
  4. Step 4: Simplify right side
    784.17x = 278,065.72
  5. Step 5: Solve for x
    x = 278,065.72/784.17
  6. Step 6: Final answer
    x = 354.60

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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.