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Finding the Fourth Proportional to 516, 710.46 and 460.56

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Solution

The fourth proportional to 516, 710.46 and 460.56 is: 634.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    516 : 710.46 = 460.56 : x
  2. Step 2: Convert to fraction form
    516/710.46 = 460.56/x
  3. Step 3: Cross multiply
    516x = 710.46 × 460.56
  4. Step 4: Simplify right side
    516x = 327,209.46
  5. Step 5: Solve for x
    x = 327,209.46/516
  6. Step 6: Final answer
    x = 634.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.