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Finding the Fourth Proportional to 497.47, 686.40 and 300.94

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Solution

The fourth proportional to 497.47, 686.40 and 300.94 is: 415.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.47 : 686.40 = 300.94 : x
  2. Step 2: Convert to fraction form
    497.47/686.40 = 300.94/x
  3. Step 3: Cross multiply
    497.47x = 686.40 × 300.94
  4. Step 4: Simplify right side
    497.47x = 206,565.22
  5. Step 5: Solve for x
    x = 206,565.22/497.47
  6. Step 6: Final answer
    x = 415.23

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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.