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Finding the Fourth Proportional to 583.20, 804.78 and 362.09

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Solution

The fourth proportional to 583.20, 804.78 and 362.09 is: 499.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.20 : 804.78 = 362.09 : x
  2. Step 2: Convert to fraction form
    583.20/804.78 = 362.09/x
  3. Step 3: Cross multiply
    583.20x = 804.78 × 362.09
  4. Step 4: Simplify right side
    583.20x = 291,398.77
  5. Step 5: Solve for x
    x = 291,398.77/583.20
  6. Step 6: Final answer
    x = 499.65

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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.