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Finding the Fourth Proportional to 518.67, 714.73 and 371.04

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Solution

The fourth proportional to 518.67, 714.73 and 371.04 is: 511.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.67 : 714.73 = 371.04 : x
  2. Step 2: Convert to fraction form
    518.67/714.73 = 371.04/x
  3. Step 3: Cross multiply
    518.67x = 714.73 × 371.04
  4. Step 4: Simplify right side
    518.67x = 265,193.42
  5. Step 5: Solve for x
    x = 265,193.42/518.67
  6. Step 6: Final answer
    x = 511.30

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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.