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Finding the Fourth Proportional to 515.54, 711.10 and 338.16

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Solution

The fourth proportional to 515.54, 711.10 and 338.16 is: 466.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.54 : 711.10 = 338.16 : x
  2. Step 2: Convert to fraction form
    515.54/711.10 = 338.16/x
  3. Step 3: Cross multiply
    515.54x = 711.10 × 338.16
  4. Step 4: Simplify right side
    515.54x = 240,465.58
  5. Step 5: Solve for x
    x = 240,465.58/515.54
  6. Step 6: Final answer
    x = 466.43

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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.