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Finding the Fourth Proportional to 569.64, 786.10 and 348.56

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Solution

The fourth proportional to 569.64, 786.10 and 348.56 is: 481.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.64 : 786.10 = 348.56 : x
  2. Step 2: Convert to fraction form
    569.64/786.10 = 348.56/x
  3. Step 3: Cross multiply
    569.64x = 786.10 × 348.56
  4. Step 4: Simplify right side
    569.64x = 274,003.02
  5. Step 5: Solve for x
    x = 274,003.02/569.64
  6. Step 6: Final answer
    x = 481.01

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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.