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Finding the Fourth Proportional to 580.08, 799.92 and 506.16

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Solution

The fourth proportional to 580.08, 799.92 and 506.16 is: 697.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.08 : 799.92 = 506.16 : x
  2. Step 2: Convert to fraction form
    580.08/799.92 = 506.16/x
  3. Step 3: Cross multiply
    580.08x = 799.92 × 506.16
  4. Step 4: Simplify right side
    580.08x = 404,887.51
  5. Step 5: Solve for x
    x = 404,887.51/580.08
  6. Step 6: Final answer
    x = 697.99

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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.