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Finding the Fourth Proportional to 564.68, 846.34 and 256.61

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Solution

The fourth proportional to 564.68, 846.34 and 256.61 is: 384.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.68 : 846.34 = 256.61 : x
  2. Step 2: Convert to fraction form
    564.68/846.34 = 256.61/x
  3. Step 3: Cross multiply
    564.68x = 846.34 × 256.61
  4. Step 4: Simplify right side
    564.68x = 217,179.31
  5. Step 5: Solve for x
    x = 217,179.31/564.68
  6. Step 6: Final answer
    x = 384.61

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