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Finding the Fourth Proportional to 435.28, 600.71 and 260.59

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Solution

The fourth proportional to 435.28, 600.71 and 260.59 is: 359.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.28 : 600.71 = 260.59 : x
  2. Step 2: Convert to fraction form
    435.28/600.71 = 260.59/x
  3. Step 3: Cross multiply
    435.28x = 600.71 × 260.59
  4. Step 4: Simplify right side
    435.28x = 156,539.02
  5. Step 5: Solve for x
    x = 156,539.02/435.28
  6. Step 6: Final answer
    x = 359.63

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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.