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Finding the Fourth Proportional to 497.21, 686.46 and 320.25

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Solution

The fourth proportional to 497.21, 686.46 and 320.25 is: 442.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.21 : 686.46 = 320.25 : x
  2. Step 2: Convert to fraction form
    497.21/686.46 = 320.25/x
  3. Step 3: Cross multiply
    497.21x = 686.46 × 320.25
  4. Step 4: Simplify right side
    497.21x = 219,838.82
  5. Step 5: Solve for x
    x = 219,838.82/497.21
  6. Step 6: Final answer
    x = 442.14

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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.