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Finding the Fourth Proportional to 515.40, 772.02 and 418.20

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Solution

The fourth proportional to 515.40, 772.02 and 418.20 is: 626.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.40 : 772.02 = 418.20 : x
  2. Step 2: Convert to fraction form
    515.40/772.02 = 418.20/x
  3. Step 3: Cross multiply
    515.40x = 772.02 × 418.20
  4. Step 4: Simplify right side
    515.40x = 322,858.76
  5. Step 5: Solve for x
    x = 322,858.76/515.40
  6. Step 6: Final answer
    x = 626.42

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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.