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Finding the Fourth Proportional to 515.49, 711.42 and 294.51

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Solution

The fourth proportional to 515.49, 711.42 and 294.51 is: 406.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.49 : 711.42 = 294.51 : x
  2. Step 2: Convert to fraction form
    515.49/711.42 = 294.51/x
  3. Step 3: Cross multiply
    515.49x = 711.42 × 294.51
  4. Step 4: Simplify right side
    515.49x = 209,524.08
  5. Step 5: Solve for x
    x = 209,524.08/515.49
  6. Step 6: Final answer
    x = 406.46

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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.