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Finding the Fourth Proportional to 556.02, 765.84 and 516.15

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Solution

The fourth proportional to 556.02, 765.84 and 516.15 is: 710.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.02 : 765.84 = 516.15 : x
  2. Step 2: Convert to fraction form
    556.02/765.84 = 516.15/x
  3. Step 3: Cross multiply
    556.02x = 765.84 × 516.15
  4. Step 4: Simplify right side
    556.02x = 395,288.32
  5. Step 5: Solve for x
    x = 395,288.32/556.02
  6. Step 6: Final answer
    x = 710.92

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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.