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Finding the Fourth Proportional to 583.14, 804.78 and 362.06

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Solution

The fourth proportional to 583.14, 804.78 and 362.06 is: 499.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.14 : 804.78 = 362.06 : x
  2. Step 2: Convert to fraction form
    583.14/804.78 = 362.06/x
  3. Step 3: Cross multiply
    583.14x = 804.78 × 362.06
  4. Step 4: Simplify right side
    583.14x = 291,378.65
  5. Step 5: Solve for x
    x = 291,378.65/583.14
  6. Step 6: Final answer
    x = 499.67

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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.