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Finding the Fourth Proportional to 497.48, 686.12 and 320.47

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Solution

The fourth proportional to 497.48, 686.12 and 320.47 is: 441.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.48 : 686.12 = 320.47 : x
  2. Step 2: Convert to fraction form
    497.48/686.12 = 320.47/x
  3. Step 3: Cross multiply
    497.48x = 686.12 × 320.47
  4. Step 4: Simplify right side
    497.48x = 219,877.56
  5. Step 5: Solve for x
    x = 219,877.56/497.48
  6. Step 6: Final answer
    x = 441.99

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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.