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Finding the Fourth Proportional to 589.98, 808.17 and 583.50

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Solution

The fourth proportional to 589.98, 808.17 and 583.50 is: 799.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.98 : 808.17 = 583.50 : x
  2. Step 2: Convert to fraction form
    589.98/808.17 = 583.50/x
  3. Step 3: Cross multiply
    589.98x = 808.17 × 583.50
  4. Step 4: Simplify right side
    589.98x = 471,567.20
  5. Step 5: Solve for x
    x = 471,567.20/589.98
  6. Step 6: Final answer
    x = 799.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.