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Finding the Fourth Proportional to 513.16, 767.90 and 478.82

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Solution

The fourth proportional to 513.16, 767.90 and 478.82 is: 716.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.16 : 767.90 = 478.82 : x
  2. Step 2: Convert to fraction form
    513.16/767.90 = 478.82/x
  3. Step 3: Cross multiply
    513.16x = 767.90 × 478.82
  4. Step 4: Simplify right side
    513.16x = 367,685.88
  5. Step 5: Solve for x
    x = 367,685.88/513.16
  6. Step 6: Final answer
    x = 716.51

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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.