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Finding the Fourth Proportional to 497.63, 686.93 and 357.77

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Solution

The fourth proportional to 497.63, 686.93 and 357.77 is: 493.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.63 : 686.93 = 357.77 : x
  2. Step 2: Convert to fraction form
    497.63/686.93 = 357.77/x
  3. Step 3: Cross multiply
    497.63x = 686.93 × 357.77
  4. Step 4: Simplify right side
    497.63x = 245,757.72
  5. Step 5: Solve for x
    x = 245,757.72/497.63
  6. Step 6: Final answer
    x = 493.86

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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.