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Finding the Fourth Proportional to 378.45, 566.24 and 256.10

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Solution

The fourth proportional to 378.45, 566.24 and 256.10 is: 383.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.45 : 566.24 = 256.10 : x
  2. Step 2: Convert to fraction form
    378.45/566.24 = 256.10/x
  3. Step 3: Cross multiply
    378.45x = 566.24 × 256.10
  4. Step 4: Simplify right side
    378.45x = 145,016.12
  5. Step 5: Solve for x
    x = 145,016.12/378.45
  6. Step 6: Final answer
    x = 383.18

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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.