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Finding the Fourth Proportional to 583.42, 804.81 and 362.14

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Solution

The fourth proportional to 583.42, 804.81 and 362.14 is: 499.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.42 : 804.81 = 362.14 : x
  2. Step 2: Convert to fraction form
    583.42/804.81 = 362.14/x
  3. Step 3: Cross multiply
    583.42x = 804.81 × 362.14
  4. Step 4: Simplify right side
    583.42x = 291,453.89
  5. Step 5: Solve for x
    x = 291,453.89/583.42
  6. Step 6: Final answer
    x = 499.56

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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.