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Finding the Fourth Proportional to 516.30, 774.45 and 464.10

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Solution

The fourth proportional to 516.30, 774.45 and 464.10 is: 696.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.30 : 774.45 = 464.10 : x
  2. Step 2: Convert to fraction form
    516.30/774.45 = 464.10/x
  3. Step 3: Cross multiply
    516.30x = 774.45 × 464.10
  4. Step 4: Simplify right side
    516.30x = 359,422.25
  5. Step 5: Solve for x
    x = 359,422.25/516.30
  6. Step 6: Final answer
    x = 696.15

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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.