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Finding the Fourth Proportional to 580.95, 801.36 and 456.41

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Solution

The fourth proportional to 580.95, 801.36 and 456.41 is: 629.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.95 : 801.36 = 456.41 : x
  2. Step 2: Convert to fraction form
    580.95/801.36 = 456.41/x
  3. Step 3: Cross multiply
    580.95x = 801.36 × 456.41
  4. Step 4: Simplify right side
    580.95x = 365,750.72
  5. Step 5: Solve for x
    x = 365,750.72/580.95
  6. Step 6: Final answer
    x = 629.57

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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.