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Finding the Fourth Proportional to 583.07, 804.85 and 386.65

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Solution

The fourth proportional to 583.07, 804.85 and 386.65 is: 533.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.07 : 804.85 = 386.65 : x
  2. Step 2: Convert to fraction form
    583.07/804.85 = 386.65/x
  3. Step 3: Cross multiply
    583.07x = 804.85 × 386.65
  4. Step 4: Simplify right side
    583.07x = 311,195.25
  5. Step 5: Solve for x
    x = 311,195.25/583.07
  6. Step 6: Final answer
    x = 533.72

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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.