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Finding the Fourth Proportional to 516.64, 713.01 and 295.58

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Solution

The fourth proportional to 516.64, 713.01 and 295.58 is: 407.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.64 : 713.01 = 295.58 : x
  2. Step 2: Convert to fraction form
    516.64/713.01 = 295.58/x
  3. Step 3: Cross multiply
    516.64x = 713.01 × 295.58
  4. Step 4: Simplify right side
    516.64x = 210,750.02
  5. Step 5: Solve for x
    x = 210,750.02/516.64
  6. Step 6: Final answer
    x = 407.93

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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.