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Finding the Fourth Proportional to 515.27, 710.83 and 338.16

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Solution

The fourth proportional to 515.27, 710.83 and 338.16 is: 466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.27 : 710.83 = 338.16 : x
  2. Step 2: Convert to fraction form
    515.27/710.83 = 338.16/x
  3. Step 3: Cross multiply
    515.27x = 710.83 × 338.16
  4. Step 4: Simplify right side
    515.27x = 240,372.58
  5. Step 5: Solve for x
    x = 240,372.58/515.27
  6. Step 6: Final answer
    x = 466.50

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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.