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Finding the Fourth Proportional to 584.26, 804.80 and 545.99

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Solution

The fourth proportional to 584.26, 804.80 and 545.99 is: 752.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.26 : 804.80 = 545.99 : x
  2. Step 2: Convert to fraction form
    584.26/804.80 = 545.99/x
  3. Step 3: Cross multiply
    584.26x = 804.80 × 545.99
  4. Step 4: Simplify right side
    584.26x = 439,410.02
  5. Step 5: Solve for x
    x = 439,410.02/584.26
  6. Step 6: Final answer
    x = 752.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.