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Finding the Fourth Proportional to 584.83, 880.96 and 535.03

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Solution

The fourth proportional to 584.83, 880.96 and 535.03 is: 805.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.83 : 880.96 = 535.03 : x
  2. Step 2: Convert to fraction form
    584.83/880.96 = 535.03/x
  3. Step 3: Cross multiply
    584.83x = 880.96 × 535.03
  4. Step 4: Simplify right side
    584.83x = 471,340.03
  5. Step 5: Solve for x
    x = 471,340.03/584.83
  6. Step 6: Final answer
    x = 805.94

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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.