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Finding the Fourth Proportional to 678.24, 1,017.49 and 288.24

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Solution

The fourth proportional to 678.24, 1,017.49 and 288.24 is: 432.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.24 : 1,017.49 = 288.24 : x
  2. Step 2: Convert to fraction form
    678.24/1,017.49 = 288.24/x
  3. Step 3: Cross multiply
    678.24x = 1,017.49 × 288.24
  4. Step 4: Simplify right side
    678.24x = 293,281.32
  5. Step 5: Solve for x
    x = 293,281.32/678.24
  6. Step 6: Final answer
    x = 432.42

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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.