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Finding the Fourth Proportional to 678.34, 1,017.69 and 288.36

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Solution

The fourth proportional to 678.34, 1,017.69 and 288.36 is: 432.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.34 : 1,017.69 = 288.36 : x
  2. Step 2: Convert to fraction form
    678.34/1,017.69 = 288.36/x
  3. Step 3: Cross multiply
    678.34x = 1,017.69 × 288.36
  4. Step 4: Simplify right side
    678.34x = 293,462.17
  5. Step 5: Solve for x
    x = 293,462.17/678.34
  6. Step 6: Final answer
    x = 432.62

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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.