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Finding the Fourth Proportional to 515.84, 773.76 and 310.40

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Solution

The fourth proportional to 515.84, 773.76 and 310.40 is: 465.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.84 : 773.76 = 310.40 : x
  2. Step 2: Convert to fraction form
    515.84/773.76 = 310.40/x
  3. Step 3: Cross multiply
    515.84x = 773.76 × 310.40
  4. Step 4: Simplify right side
    515.84x = 240,175.10
  5. Step 5: Solve for x
    x = 240,175.10/515.84
  6. Step 6: Final answer
    x = 465.60

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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.