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Finding the Fourth Proportional to 515.93, 711.59 and 349.88

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Solution

The fourth proportional to 515.93, 711.59 and 349.88 is: 482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.93 : 711.59 = 349.88 : x
  2. Step 2: Convert to fraction form
    515.93/711.59 = 349.88/x
  3. Step 3: Cross multiply
    515.93x = 711.59 × 349.88
  4. Step 4: Simplify right side
    515.93x = 248,965.80
  5. Step 5: Solve for x
    x = 248,965.80/515.93
  6. Step 6: Final answer
    x = 482.56

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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.