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Finding the Fourth Proportional to 517.29, 776.40 and 462.36

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Solution

The fourth proportional to 517.29, 776.40 and 462.36 is: 693.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.29 : 776.40 = 462.36 : x
  2. Step 2: Convert to fraction form
    517.29/776.40 = 462.36/x
  3. Step 3: Cross multiply
    517.29x = 776.40 × 462.36
  4. Step 4: Simplify right side
    517.29x = 358,976.30
  5. Step 5: Solve for x
    x = 358,976.30/517.29
  6. Step 6: Final answer
    x = 693.96

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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.