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Finding the Fourth Proportional to 580.89, 801.61 and 344.94

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Solution

The fourth proportional to 580.89, 801.61 and 344.94 is: 476.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.89 : 801.61 = 344.94 : x
  2. Step 2: Convert to fraction form
    580.89/801.61 = 344.94/x
  3. Step 3: Cross multiply
    580.89x = 801.61 × 344.94
  4. Step 4: Simplify right side
    580.89x = 276,509.93
  5. Step 5: Solve for x
    x = 276,509.93/580.89
  6. Step 6: Final answer
    x = 476.01

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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.