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Finding the Fourth Proportional to 378.08, 566.32 and 285.76

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Solution

The fourth proportional to 378.08, 566.32 and 285.76 is: 428.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.08 : 566.32 = 285.76 : x
  2. Step 2: Convert to fraction form
    378.08/566.32 = 285.76/x
  3. Step 3: Cross multiply
    378.08x = 566.32 × 285.76
  4. Step 4: Simplify right side
    378.08x = 161,831.60
  5. Step 5: Solve for x
    x = 161,831.60/378.08
  6. Step 6: Final answer
    x = 428.04

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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.