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Finding the Fourth Proportional to 515.73, 711.71 and 294.69

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Solution

The fourth proportional to 515.73, 711.71 and 294.69 is: 406.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.73 : 711.71 = 294.69 : x
  2. Step 2: Convert to fraction form
    515.73/711.71 = 294.69/x
  3. Step 3: Cross multiply
    515.73x = 711.71 × 294.69
  4. Step 4: Simplify right side
    515.73x = 209,730.26
  5. Step 5: Solve for x
    x = 209,730.26/515.73
  6. Step 6: Final answer
    x = 406.67

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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.