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Finding the Fourth Proportional to 497.42, 686.52 and 323.27

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Solution

The fourth proportional to 497.42, 686.52 and 323.27 is: 446.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.42 : 686.52 = 323.27 : x
  2. Step 2: Convert to fraction form
    497.42/686.52 = 323.27/x
  3. Step 3: Cross multiply
    497.42x = 686.52 × 323.27
  4. Step 4: Simplify right side
    497.42x = 221,927.89
  5. Step 5: Solve for x
    x = 221,927.89/497.42
  6. Step 6: Final answer
    x = 446.16

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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.