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Finding the Fourth Proportional to 678.69, 1,017.72 and 288.99

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Solution

The fourth proportional to 678.69, 1,017.72 and 288.99 is: 433.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.69 : 1,017.72 = 288.99 : x
  2. Step 2: Convert to fraction form
    678.69/1,017.72 = 288.99/x
  3. Step 3: Cross multiply
    678.69x = 1,017.72 × 288.99
  4. Step 4: Simplify right side
    678.69x = 294,110.90
  5. Step 5: Solve for x
    x = 294,110.90/678.69
  6. Step 6: Final answer
    x = 433.35

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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.