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Finding the Fourth Proportional to 569.77, 785.95 and 348.55

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Solution

The fourth proportional to 569.77, 785.95 and 348.55 is: 480.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.77 : 785.95 = 348.55 : x
  2. Step 2: Convert to fraction form
    569.77/785.95 = 348.55/x
  3. Step 3: Cross multiply
    569.77x = 785.95 × 348.55
  4. Step 4: Simplify right side
    569.77x = 273,942.87
  5. Step 5: Solve for x
    x = 273,942.87/569.77
  6. Step 6: Final answer
    x = 480.80

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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.