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Finding the Fourth Proportional to 997.54, 1,496.31 and 340.16

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Solution

The fourth proportional to 997.54, 1,496.31 and 340.16 is: 510.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.54 : 1,496.31 = 340.16 : x
  2. Step 2: Convert to fraction form
    997.54/1,496.31 = 340.16/x
  3. Step 3: Cross multiply
    997.54x = 1,496.31 × 340.16
  4. Step 4: Simplify right side
    997.54x = 508,984.81
  5. Step 5: Solve for x
    x = 508,984.81/997.54
  6. Step 6: Final answer
    x = 510.24

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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.