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Finding the Fourth Proportional to 515.48, 711.21 and 294.42

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Solution

The fourth proportional to 515.48, 711.21 and 294.42 is: 406.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.48 : 711.21 = 294.42 : x
  2. Step 2: Convert to fraction form
    515.48/711.21 = 294.42/x
  3. Step 3: Cross multiply
    515.48x = 711.21 × 294.42
  4. Step 4: Simplify right side
    515.48x = 209,394.45
  5. Step 5: Solve for x
    x = 209,394.45/515.48
  6. Step 6: Final answer
    x = 406.22

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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.