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Finding the Fourth Proportional to 515.40, 711.03 and 349.35

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Solution

The fourth proportional to 515.40, 711.03 and 349.35 is: 481.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.40 : 711.03 = 349.35 : x
  2. Step 2: Convert to fraction form
    515.40/711.03 = 349.35/x
  3. Step 3: Cross multiply
    515.40x = 711.03 × 349.35
  4. Step 4: Simplify right side
    515.40x = 248,398.33
  5. Step 5: Solve for x
    x = 248,398.33/515.40
  6. Step 6: Final answer
    x = 481.95

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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.