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Finding the Fourth Proportional to 515.23, 711.09 and 294.15

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Solution

The fourth proportional to 515.23, 711.09 and 294.15 is: 405.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.23 : 711.09 = 294.15 : x
  2. Step 2: Convert to fraction form
    515.23/711.09 = 294.15/x
  3. Step 3: Cross multiply
    515.23x = 711.09 × 294.15
  4. Step 4: Simplify right side
    515.23x = 209,169.79
  5. Step 5: Solve for x
    x = 209,169.79/515.23
  6. Step 6: Final answer
    x = 405.97

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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.