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Finding the Fourth Proportional to 497.26, 686.28 and 322.54

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Solution

The fourth proportional to 497.26, 686.28 and 322.54 is: 445.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.26 : 686.28 = 322.54 : x
  2. Step 2: Convert to fraction form
    497.26/686.28 = 322.54/x
  3. Step 3: Cross multiply
    497.26x = 686.28 × 322.54
  4. Step 4: Simplify right side
    497.26x = 221,352.75
  5. Step 5: Solve for x
    x = 221,352.75/497.26
  6. Step 6: Final answer
    x = 445.14

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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.