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Finding the Fourth Proportional to 580.65, 801.28 and 315.09

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Solution

The fourth proportional to 580.65, 801.28 and 315.09 is: 434.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.65 : 801.28 = 315.09 : x
  2. Step 2: Convert to fraction form
    580.65/801.28 = 315.09/x
  3. Step 3: Cross multiply
    580.65x = 801.28 × 315.09
  4. Step 4: Simplify right side
    580.65x = 252,475.32
  5. Step 5: Solve for x
    x = 252,475.32/580.65
  6. Step 6: Final answer
    x = 434.81

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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.