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Finding the Fourth Proportional to 497.61, 686.66 and 301.23

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Solution

The fourth proportional to 497.61, 686.66 and 301.23 is: 415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.61 : 686.66 = 301.23 : x
  2. Step 2: Convert to fraction form
    497.61/686.66 = 301.23/x
  3. Step 3: Cross multiply
    497.61x = 686.66 × 301.23
  4. Step 4: Simplify right side
    497.61x = 206,842.59
  5. Step 5: Solve for x
    x = 206,842.59/497.61
  6. Step 6: Final answer
    x = 415.67

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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.