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Finding the Fourth Proportional to 583.02, 804.51 and 362.07

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Solution

The fourth proportional to 583.02, 804.51 and 362.07 is: 499.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.02 : 804.51 = 362.07 : x
  2. Step 2: Convert to fraction form
    583.02/804.51 = 362.07/x
  3. Step 3: Cross multiply
    583.02x = 804.51 × 362.07
  4. Step 4: Simplify right side
    583.02x = 291,288.94
  5. Step 5: Solve for x
    x = 291,288.94/583.02
  6. Step 6: Final answer
    x = 499.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.