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Finding the Fourth Proportional to 497.50, 686.88 and 323.14

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Solution

The fourth proportional to 497.50, 686.88 and 323.14 is: 446.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.50 : 686.88 = 323.14 : x
  2. Step 2: Convert to fraction form
    497.50/686.88 = 323.14/x
  3. Step 3: Cross multiply
    497.50x = 686.88 × 323.14
  4. Step 4: Simplify right side
    497.50x = 221,958.40
  5. Step 5: Solve for x
    x = 221,958.40/497.50
  6. Step 6: Final answer
    x = 446.15

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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.