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Finding the Fourth Proportional to 584.31, 880.86 and 544.67

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Solution

The fourth proportional to 584.31, 880.86 and 544.67 is: 821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.31 : 880.86 = 544.67 : x
  2. Step 2: Convert to fraction form
    584.31/880.86 = 544.67/x
  3. Step 3: Cross multiply
    584.31x = 880.86 × 544.67
  4. Step 4: Simplify right side
    584.31x = 479,780.85
  5. Step 5: Solve for x
    x = 479,780.85/584.31
  6. Step 6: Final answer
    x = 821.10

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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.