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Finding the Fourth Proportional to 515.24, 711.04 and 294.24

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Solution

The fourth proportional to 515.24, 711.04 and 294.24 is: 406.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.24 : 711.04 = 294.24 : x
  2. Step 2: Convert to fraction form
    515.24/711.04 = 294.24/x
  3. Step 3: Cross multiply
    515.24x = 711.04 × 294.24
  4. Step 4: Simplify right side
    515.24x = 209,216.41
  5. Step 5: Solve for x
    x = 209,216.41/515.24
  6. Step 6: Final answer
    x = 406.06

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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.