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Finding the Fourth Proportional to 516.69, 775.14 and 465.06

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Solution

The fourth proportional to 516.69, 775.14 and 465.06 is: 697.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.69 : 775.14 = 465.06 : x
  2. Step 2: Convert to fraction form
    516.69/775.14 = 465.06/x
  3. Step 3: Cross multiply
    516.69x = 775.14 × 465.06
  4. Step 4: Simplify right side
    516.69x = 360,482.73
  5. Step 5: Solve for x
    x = 360,482.73/516.69
  6. Step 6: Final answer
    x = 697.68

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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.