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Finding the Fourth Proportional to 515.34, 773.61 and 407.19

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Solution

The fourth proportional to 515.34, 773.61 and 407.19 is: 611.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.34 : 773.61 = 407.19 : x
  2. Step 2: Convert to fraction form
    515.34/773.61 = 407.19/x
  3. Step 3: Cross multiply
    515.34x = 773.61 × 407.19
  4. Step 4: Simplify right side
    515.34x = 315,006.26
  5. Step 5: Solve for x
    x = 315,006.26/515.34
  6. Step 6: Final answer
    x = 611.26

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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.