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Finding the Fourth Proportional to 325.10, 487.46 and 256.41

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Solution

The fourth proportional to 325.10, 487.46 and 256.41 is: 384.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.10 : 487.46 = 256.41 : x
  2. Step 2: Convert to fraction form
    325.10/487.46 = 256.41/x
  3. Step 3: Cross multiply
    325.10x = 487.46 × 256.41
  4. Step 4: Simplify right side
    325.10x = 124,990.26
  5. Step 5: Solve for x
    x = 124,990.26/325.10
  6. Step 6: Final answer
    x = 384.46

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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.