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Finding the Fourth Proportional to 515.76, 711.36 and 341.34

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Solution

The fourth proportional to 515.76, 711.36 and 341.34 is: 470.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.76 : 711.36 = 341.34 : x
  2. Step 2: Convert to fraction form
    515.76/711.36 = 341.34/x
  3. Step 3: Cross multiply
    515.76x = 711.36 × 341.34
  4. Step 4: Simplify right side
    515.76x = 242,815.62
  5. Step 5: Solve for x
    x = 242,815.62/515.76
  6. Step 6: Final answer
    x = 470.79

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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.