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Finding the Fourth Proportional to 515.41, 710.22 and 478.96

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Solution

The fourth proportional to 515.41, 710.22 and 478.96 is: 659.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.41 : 710.22 = 478.96 : x
  2. Step 2: Convert to fraction form
    515.41/710.22 = 478.96/x
  3. Step 3: Cross multiply
    515.41x = 710.22 × 478.96
  4. Step 4: Simplify right side
    515.41x = 340,166.97
  5. Step 5: Solve for x
    x = 340,166.97/515.41
  6. Step 6: Final answer
    x = 659.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.