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Finding the Fourth Proportional to 497.23, 686.49 and 320.26

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Solution

The fourth proportional to 497.23, 686.49 and 320.26 is: 442.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.23 : 686.49 = 320.26 : x
  2. Step 2: Convert to fraction form
    497.23/686.49 = 320.26/x
  3. Step 3: Cross multiply
    497.23x = 686.49 × 320.26
  4. Step 4: Simplify right side
    497.23x = 219,851.05
  5. Step 5: Solve for x
    x = 219,851.05/497.23
  6. Step 6: Final answer
    x = 442.15

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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.