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Finding the Fourth Proportional to 580.93, 869.21 and 407.93

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Solution

The fourth proportional to 580.93, 869.21 and 407.93 is: 610.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.93 : 869.21 = 407.93 : x
  2. Step 2: Convert to fraction form
    580.93/869.21 = 407.93/x
  3. Step 3: Cross multiply
    580.93x = 869.21 × 407.93
  4. Step 4: Simplify right side
    580.93x = 354,576.84
  5. Step 5: Solve for x
    x = 354,576.84/580.93
  6. Step 6: Final answer
    x = 610.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.