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Finding the Fourth Proportional to 564.84, 779.40 and 343.80

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Solution

The fourth proportional to 564.84, 779.40 and 343.80 is: 474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.84 : 779.40 = 343.80 : x
  2. Step 2: Convert to fraction form
    564.84/779.40 = 343.80/x
  3. Step 3: Cross multiply
    564.84x = 779.40 × 343.80
  4. Step 4: Simplify right side
    564.84x = 267,957.72
  5. Step 5: Solve for x
    x = 267,957.72/564.84
  6. Step 6: Final answer
    x = 474.40

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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.