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Finding the Fourth Proportional to 519.52, 716.88 and 364.32

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Solution

The fourth proportional to 519.52, 716.88 and 364.32 is: 502.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.52 : 716.88 = 364.32 : x
  2. Step 2: Convert to fraction form
    519.52/716.88 = 364.32/x
  3. Step 3: Cross multiply
    519.52x = 716.88 × 364.32
  4. Step 4: Simplify right side
    519.52x = 261,173.72
  5. Step 5: Solve for x
    x = 261,173.72/519.52
  6. Step 6: Final answer
    x = 502.72

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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.