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Finding the Fourth Proportional to 569.57, 785.81 and 348.44

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Solution

The fourth proportional to 569.57, 785.81 and 348.44 is: 480.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.57 : 785.81 = 348.44 : x
  2. Step 2: Convert to fraction form
    569.57/785.81 = 348.44/x
  3. Step 3: Cross multiply
    569.57x = 785.81 × 348.44
  4. Step 4: Simplify right side
    569.57x = 273,801.97
  5. Step 5: Solve for x
    x = 273,801.97/569.57
  6. Step 6: Final answer
    x = 480.72

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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.