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Finding the Fourth Proportional to 564.56, 846.84 and 256.35

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Solution

The fourth proportional to 564.56, 846.84 and 256.35 is: 384.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.56 : 846.84 = 256.35 : x
  2. Step 2: Convert to fraction form
    564.56/846.84 = 256.35/x
  3. Step 3: Cross multiply
    564.56x = 846.84 × 256.35
  4. Step 4: Simplify right side
    564.56x = 217,087.43
  5. Step 5: Solve for x
    x = 217,087.43/564.56
  6. Step 6: Final answer
    x = 384.53

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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.