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Finding the Fourth Proportional to 584.96, 881.92 and 545.30

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Solution

The fourth proportional to 584.96, 881.92 and 545.30 is: 822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.96 : 881.92 = 545.30 : x
  2. Step 2: Convert to fraction form
    584.96/881.92 = 545.30/x
  3. Step 3: Cross multiply
    584.96x = 881.92 × 545.30
  4. Step 4: Simplify right side
    584.96x = 480,910.56
  5. Step 5: Solve for x
    x = 480,910.56/584.96
  6. Step 6: Final answer
    x = 822.13

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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.