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Finding the Fourth Proportional to 516.04, 713.70 and 460.68

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Solution

The fourth proportional to 516.04, 713.70 and 460.68 is: 637.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.04 : 713.70 = 460.68 : x
  2. Step 2: Convert to fraction form
    516.04/713.70 = 460.68/x
  3. Step 3: Cross multiply
    516.04x = 713.70 × 460.68
  4. Step 4: Simplify right side
    516.04x = 328,787.32
  5. Step 5: Solve for x
    x = 328,787.32/516.04
  6. Step 6: Final answer
    x = 637.14

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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.