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Finding the Fourth Proportional to 569.36, 785.34 and 394.68

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Solution

The fourth proportional to 569.36, 785.34 and 394.68 is: 544.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.36 : 785.34 = 394.68 : x
  2. Step 2: Convert to fraction form
    569.36/785.34 = 394.68/x
  3. Step 3: Cross multiply
    569.36x = 785.34 × 394.68
  4. Step 4: Simplify right side
    569.36x = 309,957.99
  5. Step 5: Solve for x
    x = 309,957.99/569.36
  6. Step 6: Final answer
    x = 544.40

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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.