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Finding the Fourth Proportional to 378.48, 568.32 and 287.52

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Solution

The fourth proportional to 378.48, 568.32 and 287.52 is: 431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.48 : 568.32 = 287.52 : x
  2. Step 2: Convert to fraction form
    378.48/568.32 = 287.52/x
  3. Step 3: Cross multiply
    378.48x = 568.32 × 287.52
  4. Step 4: Simplify right side
    378.48x = 163,403.37
  5. Step 5: Solve for x
    x = 163,403.37/378.48
  6. Step 6: Final answer
    x = 431.74

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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.