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Finding the Fourth Proportional to 497.79, 686.61 and 456.48

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Solution

The fourth proportional to 497.79, 686.61 and 456.48 is: 629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.79 : 686.61 = 456.48 : x
  2. Step 2: Convert to fraction form
    497.79/686.61 = 456.48/x
  3. Step 3: Cross multiply
    497.79x = 686.61 × 456.48
  4. Step 4: Simplify right side
    497.79x = 313,423.73
  5. Step 5: Solve for x
    x = 313,423.73/497.79
  6. Step 6: Final answer
    x = 629.63

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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.