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Finding the Fourth Proportional to 497.14, 685.99 and 322.48

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Solution

The fourth proportional to 497.14, 685.99 and 322.48 is: 444.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.14 : 685.99 = 322.48 : x
  2. Step 2: Convert to fraction form
    497.14/685.99 = 322.48/x
  3. Step 3: Cross multiply
    497.14x = 685.99 × 322.48
  4. Step 4: Simplify right side
    497.14x = 221,218.06
  5. Step 5: Solve for x
    x = 221,218.06/497.14
  6. Step 6: Final answer
    x = 444.98

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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.