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Finding the Fourth Proportional to 516.40, 774.60 and 465.10

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Solution

The fourth proportional to 516.40, 774.60 and 465.10 is: 697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.40 : 774.60 = 465.10 : x
  2. Step 2: Convert to fraction form
    516.40/774.60 = 465.10/x
  3. Step 3: Cross multiply
    516.40x = 774.60 × 465.10
  4. Step 4: Simplify right side
    516.40x = 360,266.46
  5. Step 5: Solve for x
    x = 360,266.46/516.40
  6. Step 6: Final answer
    x = 697.65

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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.