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Finding the Fourth Proportional to 517.59, 776.39 and 464.13

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Solution

The fourth proportional to 517.59, 776.39 and 464.13 is: 696.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.59 : 776.39 = 464.13 : x
  2. Step 2: Convert to fraction form
    517.59/776.39 = 464.13/x
  3. Step 3: Cross multiply
    517.59x = 776.39 × 464.13
  4. Step 4: Simplify right side
    517.59x = 360,343.57
  5. Step 5: Solve for x
    x = 360,343.57/517.59
  6. Step 6: Final answer
    x = 696.20

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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.