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Finding the Fourth Proportional to 497.81, 686.86 and 301.32

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Solution

The fourth proportional to 497.81, 686.86 and 301.32 is: 415.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.81 : 686.86 = 301.32 : x
  2. Step 2: Convert to fraction form
    497.81/686.86 = 301.32/x
  3. Step 3: Cross multiply
    497.81x = 686.86 × 301.32
  4. Step 4: Simplify right side
    497.81x = 206,962.18
  5. Step 5: Solve for x
    x = 206,962.18/497.81
  6. Step 6: Final answer
    x = 415.75

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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.