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Finding the Fourth Proportional to 678.45, 1,017.64 and 288.20

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Solution

The fourth proportional to 678.45, 1,017.64 and 288.20 is: 432.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.45 : 1,017.64 = 288.20 : x
  2. Step 2: Convert to fraction form
    678.45/1,017.64 = 288.20/x
  3. Step 3: Cross multiply
    678.45x = 1,017.64 × 288.20
  4. Step 4: Simplify right side
    678.45x = 293,283.85
  5. Step 5: Solve for x
    x = 293,283.85/678.45
  6. Step 6: Final answer
    x = 432.29

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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.