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Finding the Fourth Proportional to 564.95, 847.55 and 256.84

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Solution

The fourth proportional to 564.95, 847.55 and 256.84 is: 385.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.95 : 847.55 = 256.84 : x
  2. Step 2: Convert to fraction form
    564.95/847.55 = 256.84/x
  3. Step 3: Cross multiply
    564.95x = 847.55 × 256.84
  4. Step 4: Simplify right side
    564.95x = 217,687.90
  5. Step 5: Solve for x
    x = 217,687.90/564.95
  6. Step 6: Final answer
    x = 385.32

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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.