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Finding the Fourth Proportional to 516.61, 712.91 and 295.54

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Solution

The fourth proportional to 516.61, 712.91 and 295.54 is: 407.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.61 : 712.91 = 295.54 : x
  2. Step 2: Convert to fraction form
    516.61/712.91 = 295.54/x
  3. Step 3: Cross multiply
    516.61x = 712.91 × 295.54
  4. Step 4: Simplify right side
    516.61x = 210,693.42
  5. Step 5: Solve for x
    x = 210,693.42/516.61
  6. Step 6: Final answer
    x = 407.84

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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.