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Finding the Fourth Proportional to 544.96, 818.16 and 288.64

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Solution

The fourth proportional to 544.96, 818.16 and 288.64 is: 433.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.96 : 818.16 = 288.64 : x
  2. Step 2: Convert to fraction form
    544.96/818.16 = 288.64/x
  3. Step 3: Cross multiply
    544.96x = 818.16 × 288.64
  4. Step 4: Simplify right side
    544.96x = 236,153.70
  5. Step 5: Solve for x
    x = 236,153.70/544.96
  6. Step 6: Final answer
    x = 433.34

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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.