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Finding the Fourth Proportional to 387.60, 533.52 and 338.08

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Solution

The fourth proportional to 387.60, 533.52 and 338.08 is: 465.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.60 : 533.52 = 338.08 : x
  2. Step 2: Convert to fraction form
    387.60/533.52 = 338.08/x
  3. Step 3: Cross multiply
    387.60x = 533.52 × 338.08
  4. Step 4: Simplify right side
    387.60x = 180,372.44
  5. Step 5: Solve for x
    x = 180,372.44/387.60
  6. Step 6: Final answer
    x = 465.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.