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Finding the Fourth Proportional to 457.57, 686.62 and 194

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Solution

The fourth proportional to 457.57, 686.62 and 194 is: 291.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.57 : 686.62 = 194 : x
  2. Step 2: Convert to fraction form
    457.57/686.62 = 194/x
  3. Step 3: Cross multiply
    457.57x = 686.62 × 194
  4. Step 4: Simplify right side
    457.57x = 133,203.31
  5. Step 5: Solve for x
    x = 133,203.31/457.57
  6. Step 6: Final answer
    x = 291.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.