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Finding the Fourth Proportional to 497.34, 686.19 and 322.74

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Solution

The fourth proportional to 497.34, 686.19 and 322.74 is: 445.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.34 : 686.19 = 322.74 : x
  2. Step 2: Convert to fraction form
    497.34/686.19 = 322.74/x
  3. Step 3: Cross multiply
    497.34x = 686.19 × 322.74
  4. Step 4: Simplify right side
    497.34x = 221,460.96
  5. Step 5: Solve for x
    x = 221,460.96/497.34
  6. Step 6: Final answer
    x = 445.29

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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.