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Finding the Fourth Proportional to 569, 785.22 and 336.13

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Solution

The fourth proportional to 569, 785.22 and 336.13 is: 463.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    569 : 785.22 = 336.13 : x
  2. Step 2: Convert to fraction form
    569/785.22 = 336.13/x
  3. Step 3: Cross multiply
    569x = 785.22 × 336.13
  4. Step 4: Simplify right side
    569x = 263,932.07
  5. Step 5: Solve for x
    x = 263,932.07/569
  6. Step 6: Final answer
    x = 463.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.