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Finding the Fourth Proportional to 584.56, 880.32 and 527.44

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Solution

The fourth proportional to 584.56, 880.32 and 527.44 is: 794.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.56 : 880.32 = 527.44 : x
  2. Step 2: Convert to fraction form
    584.56/880.32 = 527.44/x
  3. Step 3: Cross multiply
    584.56x = 880.32 × 527.44
  4. Step 4: Simplify right side
    584.56x = 464,315.98
  5. Step 5: Solve for x
    x = 464,315.98/584.56
  6. Step 6: Final answer
    x = 794.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.