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Finding the Fourth Proportional to 584.06, 805.68 and 502.25

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Solution

The fourth proportional to 584.06, 805.68 and 502.25 is: 692.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.06 : 805.68 = 502.25 : x
  2. Step 2: Convert to fraction form
    584.06/805.68 = 502.25/x
  3. Step 3: Cross multiply
    584.06x = 805.68 × 502.25
  4. Step 4: Simplify right side
    584.06x = 404,648.75
  5. Step 5: Solve for x
    x = 404,648.75/584.06
  6. Step 6: Final answer
    x = 692.83

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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.