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Finding the Fourth Proportional to 584.28, 872.46 and 522.72

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Solution

The fourth proportional to 584.28, 872.46 and 522.72 is: 780.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.28 : 872.46 = 522.72 : x
  2. Step 2: Convert to fraction form
    584.28/872.46 = 522.72/x
  3. Step 3: Cross multiply
    584.28x = 872.46 × 522.72
  4. Step 4: Simplify right side
    584.28x = 456,052.29
  5. Step 5: Solve for x
    x = 456,052.29/584.28
  6. Step 6: Final answer
    x = 780.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.