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Finding the Fourth Proportional to 580.28, 799.98 and 509.72

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Solution

The fourth proportional to 580.28, 799.98 and 509.72 is: 702.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.28 : 799.98 = 509.72 : x
  2. Step 2: Convert to fraction form
    580.28/799.98 = 509.72/x
  3. Step 3: Cross multiply
    580.28x = 799.98 × 509.72
  4. Step 4: Simplify right side
    580.28x = 407,765.81
  5. Step 5: Solve for x
    x = 407,765.81/580.28
  6. Step 6: Final answer
    x = 702.71

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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.