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Finding the Fourth Proportional to 457.66, 686.53 and 194.07

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Solution

The fourth proportional to 457.66, 686.53 and 194.07 is: 291.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.66 : 686.53 = 194.07 : x
  2. Step 2: Convert to fraction form
    457.66/686.53 = 194.07/x
  3. Step 3: Cross multiply
    457.66x = 686.53 × 194.07
  4. Step 4: Simplify right side
    457.66x = 133,234.67
  5. Step 5: Solve for x
    x = 133,234.67/457.66
  6. Step 6: Final answer
    x = 291.12

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