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Finding the Fourth Proportional to 497.54, 686.49 and 301.01

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Solution

The fourth proportional to 497.54, 686.49 and 301.01 is: 415.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.54 : 686.49 = 301.01 : x
  2. Step 2: Convert to fraction form
    497.54/686.49 = 301.01/x
  3. Step 3: Cross multiply
    497.54x = 686.49 × 301.01
  4. Step 4: Simplify right side
    497.54x = 206,636.92
  5. Step 5: Solve for x
    x = 206,636.92/497.54
  6. Step 6: Final answer
    x = 415.32

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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.