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Finding the Fourth Proportional to 497.66, 686.75 and 323.01

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Solution

The fourth proportional to 497.66, 686.75 and 323.01 is: 445.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.66 : 686.75 = 323.01 : x
  2. Step 2: Convert to fraction form
    497.66/686.75 = 323.01/x
  3. Step 3: Cross multiply
    497.66x = 686.75 × 323.01
  4. Step 4: Simplify right side
    497.66x = 221,825.50
  5. Step 5: Solve for x
    x = 221,825.50/497.66
  6. Step 6: Final answer
    x = 445.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.