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Finding the Fourth Proportional to 516.03, 711.38 and 341.07

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Solution

The fourth proportional to 516.03, 711.38 and 341.07 is: 470.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.03 : 711.38 = 341.07 : x
  2. Step 2: Convert to fraction form
    516.03/711.38 = 341.07/x
  3. Step 3: Cross multiply
    516.03x = 711.38 × 341.07
  4. Step 4: Simplify right side
    516.03x = 242,628.67
  5. Step 5: Solve for x
    x = 242,628.67/516.03
  6. Step 6: Final answer
    x = 470.18

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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.