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Finding the Fourth Proportional to 678.47, 1,017.32 and 216.14

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Solution

The fourth proportional to 678.47, 1,017.32 and 216.14 is: 324.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.47 : 1,017.32 = 216.14 : x
  2. Step 2: Convert to fraction form
    678.47/1,017.32 = 216.14/x
  3. Step 3: Cross multiply
    678.47x = 1,017.32 × 216.14
  4. Step 4: Simplify right side
    678.47x = 219,877.38
  5. Step 5: Solve for x
    x = 219,877.38/678.47
  6. Step 6: Final answer
    x = 324.08

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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.