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Finding the Fourth Proportional to 569.13, 785.16 and 382.68

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Solution

The fourth proportional to 569.13, 785.16 and 382.68 is: 527.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.13 : 785.16 = 382.68 : x
  2. Step 2: Convert to fraction form
    569.13/785.16 = 382.68/x
  3. Step 3: Cross multiply
    569.13x = 785.16 × 382.68
  4. Step 4: Simplify right side
    569.13x = 300,465.03
  5. Step 5: Solve for x
    x = 300,465.03/569.13
  6. Step 6: Final answer
    x = 527.94

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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.