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Finding the Fourth Proportional to 497.16, 686.37 and 320.22

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Solution

The fourth proportional to 497.16, 686.37 and 320.22 is: 442.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.16 : 686.37 = 320.22 : x
  2. Step 2: Convert to fraction form
    497.16/686.37 = 320.22/x
  3. Step 3: Cross multiply
    497.16x = 686.37 × 320.22
  4. Step 4: Simplify right side
    497.16x = 219,789.40
  5. Step 5: Solve for x
    x = 219,789.40/497.16
  6. Step 6: Final answer
    x = 442.09

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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.