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Finding the Fourth Proportional to 564.36, 778.77 and 343.50

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Solution

The fourth proportional to 564.36, 778.77 and 343.50 is: 474.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.36 : 778.77 = 343.50 : x
  2. Step 2: Convert to fraction form
    564.36/778.77 = 343.50/x
  3. Step 3: Cross multiply
    564.36x = 778.77 × 343.50
  4. Step 4: Simplify right side
    564.36x = 267,507.50
  5. Step 5: Solve for x
    x = 267,507.50/564.36
  6. Step 6: Final answer
    x = 474.00

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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.