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Finding the Fourth Proportional to 497.04, 686 and 378.84

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Solution

The fourth proportional to 497.04, 686 and 378.84 is: 522.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.04 : 686 = 378.84 : x
  2. Step 2: Convert to fraction form
    497.04/686 = 378.84/x
  3. Step 3: Cross multiply
    497.04x = 686 × 378.84
  4. Step 4: Simplify right side
    497.04x = 259,884.24
  5. Step 5: Solve for x
    x = 259,884.24/497.04
  6. Step 6: Final answer
    x = 522.86

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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.