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Finding the Fourth Proportional to 516.52, 712.85 and 295.50

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Solution

The fourth proportional to 516.52, 712.85 and 295.50 is: 407.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.52 : 712.85 = 295.50 : x
  2. Step 2: Convert to fraction form
    516.52/712.85 = 295.50/x
  3. Step 3: Cross multiply
    516.52x = 712.85 × 295.50
  4. Step 4: Simplify right side
    516.52x = 210,647.91
  5. Step 5: Solve for x
    x = 210,647.91/516.52
  6. Step 6: Final answer
    x = 407.82

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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.