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Finding the Fourth Proportional to 569.06, 785.29 and 333.17

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Solution

The fourth proportional to 569.06, 785.29 and 333.17 is: 459.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.06 : 785.29 = 333.17 : x
  2. Step 2: Convert to fraction form
    569.06/785.29 = 333.17/x
  3. Step 3: Cross multiply
    569.06x = 785.29 × 333.17
  4. Step 4: Simplify right side
    569.06x = 261,635.07
  5. Step 5: Solve for x
    x = 261,635.07/569.06
  6. Step 6: Final answer
    x = 459.77

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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.