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Finding the Fourth Proportional to 564.84, 847.74 and 257.04

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Solution

The fourth proportional to 564.84, 847.74 and 257.04 is: 385.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.84 : 847.74 = 257.04 : x
  2. Step 2: Convert to fraction form
    564.84/847.74 = 257.04/x
  3. Step 3: Cross multiply
    564.84x = 847.74 × 257.04
  4. Step 4: Simplify right side
    564.84x = 217,903.09
  5. Step 5: Solve for x
    x = 217,903.09/564.84
  6. Step 6: Final answer
    x = 385.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.