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Finding the Fourth Proportional to 519.88, 716.40 and 388.66

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Solution

The fourth proportional to 519.88, 716.40 and 388.66 is: 535.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.88 : 716.40 = 388.66 : x
  2. Step 2: Convert to fraction form
    519.88/716.40 = 388.66/x
  3. Step 3: Cross multiply
    519.88x = 716.40 × 388.66
  4. Step 4: Simplify right side
    519.88x = 278,436.02
  5. Step 5: Solve for x
    x = 278,436.02/519.88
  6. Step 6: Final answer
    x = 535.58

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