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Finding the Fourth Proportional to 516.02, 774.48 and 464.60

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Solution

The fourth proportional to 516.02, 774.48 and 464.60 is: 697.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.02 : 774.48 = 464.60 : x
  2. Step 2: Convert to fraction form
    516.02/774.48 = 464.60/x
  3. Step 3: Cross multiply
    516.02x = 774.48 × 464.60
  4. Step 4: Simplify right side
    516.02x = 359,823.41
  5. Step 5: Solve for x
    x = 359,823.41/516.02
  6. Step 6: Final answer
    x = 697.31

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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.