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Finding the Fourth Proportional to 515.94, 711.90 and 294.91

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Solution

The fourth proportional to 515.94, 711.90 and 294.91 is: 406.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.94 : 711.90 = 294.91 : x
  2. Step 2: Convert to fraction form
    515.94/711.90 = 294.91/x
  3. Step 3: Cross multiply
    515.94x = 711.90 × 294.91
  4. Step 4: Simplify right side
    515.94x = 209,946.43
  5. Step 5: Solve for x
    x = 209,946.43/515.94
  6. Step 6: Final answer
    x = 406.92

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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.