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Finding the Fourth Proportional to 678.29, 1,017.54 and 216.07

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Solution

The fourth proportional to 678.29, 1,017.54 and 216.07 is: 324.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.29 : 1,017.54 = 216.07 : x
  2. Step 2: Convert to fraction form
    678.29/1,017.54 = 216.07/x
  3. Step 3: Cross multiply
    678.29x = 1,017.54 × 216.07
  4. Step 4: Simplify right side
    678.29x = 219,859.87
  5. Step 5: Solve for x
    x = 219,859.87/678.29
  6. Step 6: Final answer
    x = 324.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.