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Finding the Fourth Proportional to 483.84, 726.03 and 288.90

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Solution

The fourth proportional to 483.84, 726.03 and 288.90 is: 433.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.84 : 726.03 = 288.90 : x
  2. Step 2: Convert to fraction form
    483.84/726.03 = 288.90/x
  3. Step 3: Cross multiply
    483.84x = 726.03 × 288.90
  4. Step 4: Simplify right side
    483.84x = 209,750.07
  5. Step 5: Solve for x
    x = 209,750.07/483.84
  6. Step 6: Final answer
    x = 433.51

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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.