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Finding the Fourth Proportional to 678.23, 1,017.48 and 288.23

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Solution

The fourth proportional to 678.23, 1,017.48 and 288.23 is: 432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.23 : 1,017.48 = 288.23 : x
  2. Step 2: Convert to fraction form
    678.23/1,017.48 = 288.23/x
  3. Step 3: Cross multiply
    678.23x = 1,017.48 × 288.23
  4. Step 4: Simplify right side
    678.23x = 293,269.98
  5. Step 5: Solve for x
    x = 293,269.98/678.23
  6. Step 6: Final answer
    x = 432.40

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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.