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Finding the Fourth Proportional to 569.77, 786.24 and 348.69

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Solution

The fourth proportional to 569.77, 786.24 and 348.69 is: 481.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.77 : 786.24 = 348.69 : x
  2. Step 2: Convert to fraction form
    569.77/786.24 = 348.69/x
  3. Step 3: Cross multiply
    569.77x = 786.24 × 348.69
  4. Step 4: Simplify right side
    569.77x = 274,152.72
  5. Step 5: Solve for x
    x = 274,152.72/569.77
  6. Step 6: Final answer
    x = 481.16

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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.