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Finding the Fourth Proportional to 516.51, 772.61 and 477.63

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Solution

The fourth proportional to 516.51, 772.61 and 477.63 is: 714.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.51 : 772.61 = 477.63 : x
  2. Step 2: Convert to fraction form
    516.51/772.61 = 477.63/x
  3. Step 3: Cross multiply
    516.51x = 772.61 × 477.63
  4. Step 4: Simplify right side
    516.51x = 369,019.33
  5. Step 5: Solve for x
    x = 369,019.33/516.51
  6. Step 6: Final answer
    x = 714.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.